Hi. It's Mr. Andersen and right now I'm actually playing Angry Birds. Angry
Hi. It's Mr. Andersen and right now I'm actually playing Angry Birds. Angry

Birds is a video game where you get to launch angry birds at these pig type characters.
Birds is a video game where you get to launch angry birds at these pig type characters.

I like it for two reasons. Number one it's addictive. But number two it deals with physics.
I like it for two reasons. Number one it's addictive. But number two it deals with physics.

And a lot of my favorite games do physics. So let's go to level two. And so what I'm
And a lot of my favorite games do physics. So let's go to level two. And so what I'm

going to talk about today are vectors and scalars. And vectors and scalars are ways
going to talk about today are vectors and scalars. And vectors and scalars are ways

that we measure quantities in physics. And Angry Birds would be a really boring game
that we measure quantities in physics. And Angry Birds would be a really boring game

if I just used scalars. Because if I just used scalars, I would input the speed of the
if I just used scalars. Because if I just used scalars, I would input the speed of the

bird and then I would just let it go. And it would be boring because I wouldn't be able
bird and then I would just let it go. And it would be boring because I wouldn't be able

to vary the direction. And so in Angry Birds I can vary the direction and I can try to
to vary the direction. And so in Angry Birds I can vary the direction and I can try to

skip this off of . . . Nice. I can try to skip it off and kill a number of these pigs
skip this off of . . . Nice. I can try to skip it off and kill a number of these pigs

at once. Now I could play this for the whole ten minutes but that would probably be a waste
at once. Now I could play this for the whole ten minutes but that would probably be a waste

of time. And so what I want to do is talk about scalars and vector quantities. Scalar
of time. And so what I want to do is talk about scalars and vector quantities. Scalar

and vector quantities, I wanted to start with them at the beginning of physics. Because
and vector quantities, I wanted to start with them at the beginning of physics. Because

sometimes we get to vectors and people get confused and don't understand where did they
sometimes we get to vectors and people get confused and don't understand where did they

come from. And so we have quantities that we measure in science. Especially in physics.
come from. And so we have quantities that we measure in science. Especially in physics.

And we give numbers and units to those. But they come in two different types. And those
And we give numbers and units to those. But they come in two different types. And those

are scalar and vector. To kind of talk about the difference between the two, a scalar quantity
are scalar and vector. To kind of talk about the difference between the two, a scalar quantity

is going to be a quantity where we just measure the magnitude. And so an example of a scalar
is going to be a quantity where we just measure the magnitude. And so an example of a scalar

quantity could be speed. So when you measure the speed of something, and I say how fast
quantity could be speed. So when you measure the speed of something, and I say how fast

does your car go? You might say that my car goes 109 miles per hour. Or if you're a physics
does your car go? You might say that my car goes 109 miles per hour. Or if you're a physics

teacher you might say that my bike goes, I don't know, like 9.6 meters per second. And
teacher you might say that my bike goes, I don't know, like 9.6 meters per second. And

so this is going to be speed. And the reason it is a scalar quantity is that it simply
so this is going to be speed. And the reason it is a scalar quantity is that it simply

gives me a magnitude. How fast? How far? How big? How quick? All those things are scalar
gives me a magnitude. How fast? How far? How big? How quick? All those things are scalar

quantities. What's missing from a scalar quantity is direction. And so vector quantities are
quantities. What's missing from a scalar quantity is direction. And so vector quantities are

going to tell you, not only the magnitude, but they're also going to tell you what direction
going to tell you, not only the magnitude, but they're also going to tell you what direction

that magnitude is in. So let me use a different color maybe. Example of a vector quantity
that magnitude is in. So let me use a different color maybe. Example of a vector quantity

would be velocity. And so in science it's really important that we make this distinction
would be velocity. And so in science it's really important that we make this distinction

between speed and velocity. Speed is just how fast something is going. But velocity
between speed and velocity. Speed is just how fast something is going. But velocity

is also going to contain the direction. In other words I could say that my bike is going
is also going to contain the direction. In other words I could say that my bike is going

9.08 meters per second west. Or I could say this pen is being thrown with an initial velocity
9.08 meters per second west. Or I could say this pen is being thrown with an initial velocity

of 2.8 meters per second up or in the positive. And so once we add direction to a quantity,
of 2.8 meters per second up or in the positive. And so once we add direction to a quantity,

now we have a vector. Now you might think to yourself that's kind of nit picky. Why
now we have a vector. Now you might think to yourself that's kind of nit picky. Why

do we care what direction we're flowing in? And I have a demonstration that will kind
do we care what direction we're flowing in? And I have a demonstration that will kind

of show you the importance of that. But a good example would be acceleration. And so
of show you the importance of that. But a good example would be acceleration. And so

what is acceleration? Acceleration is simply change in velocity over time. And so acceleration
what is acceleration? Acceleration is simply change in velocity over time. And so acceleration

is going to be the change in velocity over time. And so I could ask you a question like
is going to be the change in velocity over time. And so I could ask you a question like

this. Let's say a car is driving down a road And it's going 23 meters per second. And it
this. Let's say a car is driving down a road And it's going 23 meters per second. And it

stays at 23 meters per second. Is it accelerating? And you would say no. Of course it's not.
stays at 23 meters per second. Is it accelerating? And you would say no. Of course it's not.

Let's say it goes around a corner. And during that movement around the corner it stays at
Let's say it goes around a corner. And during that movement around the corner it stays at

23 meters per second. Well what would happen to the scalar quantity of speed around a corner?
23 meters per second. Well what would happen to the scalar quantity of speed around a corner?

It would still be 23 meters per second. And so if you're using scalar quantities we'd
It would still be 23 meters per second. And so if you're using scalar quantities we'd

have to say that it's not accelerating. But since velocity is a vector, if you're going
have to say that it's not accelerating. But since velocity is a vector, if you're going

23 meters per second and you're going around a corner, are you accelerating? Yeah. Because
23 meters per second and you're going around a corner, are you accelerating? Yeah. Because

you're not changing the magnitude of your speed but you're clearly changing the direction.
you're not changing the magnitude of your speed but you're clearly changing the direction.

And so a change in velocity is going to be acceleration. And so you are accelerating
And so a change in velocity is going to be acceleration. And so you are accelerating

when you go around a corner. And so that would be an example of why in physics I'm not trying
when you go around a corner. And so that would be an example of why in physics I'm not trying

to be nit picky I'm just saying that you have to understand the difference between a scalar
to be nit picky I'm just saying that you have to understand the difference between a scalar

quantity and then which is just magnitude and a vector which is magnitude and direction.
quantity and then which is just magnitude and a vector which is magnitude and direction.

There's a review at the end of this video and so I'll have you go through a bunch of
There's a review at the end of this video and so I'll have you go through a bunch of

these and we'll identify a number of them. But for now I wanted to give you a little
these and we'll identify a number of them. But for now I wanted to give you a little

demonstration to show you the importance of a scalar and vector quantities. And so what
demonstration to show you the importance of a scalar and vector quantities. And so what

I have here is a 1000 gram weight. Or 1 kilogram weight. And it's suspend from a scale. And
I have here is a 1000 gram weight. Or 1 kilogram weight. And it's suspend from a scale. And

I don't know if you can read that on there. But the scale measures the number of grams.
I don't know if you can read that on there. But the scale measures the number of grams.

And so if this is a 1000 grams and this measures the numbers of grams, and it's scaled right,
And so if this is a 1000 grams and this measures the numbers of grams, and it's scaled right,

it should say, and it does, about 1000 grams is the weight of this. Now a question I could
it should say, and it does, about 1000 grams is the weight of this. Now a question I could

ask you is this. Let's say I bring in another scale. And so I'm going to attach another
ask you is this. Let's say I bring in another scale. And so I'm going to attach another

scale to it. And so if we had 1 mass that had a mass of 1000 grams, and now I have two
scale to it. And so if we had 1 mass that had a mass of 1000 grams, and now I have two

scales that are bearing the weight of that. And I lift them directly up. What should each
scales that are bearing the weight of that. And I lift them directly up. What should each

of the scales read? And if you're thinking it's 1000 grams, so each one should read 500
of the scales read? And if you're thinking it's 1000 grams, so each one should read 500

grams, let me try it, the right answer is yeah. Each of the scales weigh right at about
grams, let me try it, the right answer is yeah. Each of the scales weigh right at about

500 grams. And so that should make sense to you. In other words 500 plus 500 is 1000.
500 grams. And so that should make sense to you. In other words 500 plus 500 is 1000.

So we have the force down of the weight. Force of tension is holding these in position. And
So we have the force down of the weight. Force of tension is holding these in position. And

so we should be good to go. The problem becomes when I start to change the angle. And so what
so we should be good to go. The problem becomes when I start to change the angle. And so what

I'm going to do, and I'm sure this will go off screen, is I'm going to start to hold
I'm going to do, and I'm sure this will go off screen, is I'm going to start to hold

these at a different angle. And so if I look right here I now find that it's at 600. And
these at a different angle. And so if I look right here I now find that it's at 600. And

so this one is at 600 as well. And so I increase the angle like this, we'll find that that
so this one is at 600 as well. And so I increase the angle like this, we'll find that that

will increase as well. And so when I get it to an angle like this I have 1000 gram weight
will increase as well. And so when I get it to an angle like this I have 1000 gram weight

and it's being supported by 2 scales now that are reading 1000. And it's going to vary as
and it's being supported by 2 scales now that are reading 1000. And it's going to vary as

I come back to here. And if you do any weight lifting you understand kind of how that works.
I come back to here. And if you do any weight lifting you understand kind of how that works.

And so the question becomes how do we do math? The problem with this then is that the numbers
And so the question becomes how do we do math? The problem with this then is that the numbers

don't add up. And so if I've got a 500 gram weight, excuse me, a 1000 gram weight being
don't add up. And so if I've got a 500 gram weight, excuse me, a 1000 gram weight being

supported by 2 scales, it made sense that it was weighing 500 each. But now we all of
supported by 2 scales, it made sense that it was weighing 500 each. But now we all of

a sudden have a 1000 gram weight being supported by two scales that are each reading 1000.
a sudden have a 1000 gram weight being supported by two scales that are each reading 1000.

And so this doesn't make sense. Or the math doesn't make sense. And the reason why is
And so this doesn't make sense. Or the math doesn't make sense. And the reason why is

that you're trying to solve the problem from a scalar perspective. And you'll never be
that you're trying to solve the problem from a scalar perspective. And you'll never be

able to get the right answer. Because it's going to change. And it's going to change
able to get the right answer. Because it's going to change. And it's going to change

depending on the angle that we lift them at. So to understand this in a vector method,
depending on the angle that we lift them at. So to understand this in a vector method,

and we'll get way into detail, so I just want to kind of touch on it for just a second,
and we'll get way into detail, so I just want to kind of touch on it for just a second,

what we had was a weight. So we'll say there's a weight like this. And we'll say that's a
what we had was a weight. So we'll say there's a weight like this. And we'll say that's a

1000 gram weight. And then we have two scales. And each of those scales are pulling at 500
1000 gram weight. And then we have two scales. And each of those scales are pulling at 500

grams. And so if you add the vectors up. So this is one vector and this is another vector.
grams. And so if you add the vectors up. So this is one vector and this is another vector.

So each of these is 500 grams, so I make the 500 in length, then we balance out. In other
So each of these is 500 grams, so I make the 500 in length, then we balance out. In other

words we have the balancing of this weight with these two weights that are on top of
words we have the balancing of this weight with these two weights that are on top of

it. Now if we go to the vector problem, in the vector problem, again we had a 1000 gram
it. Now if we go to the vector problem, in the vector problem, again we had a 1000 gram

weight. So 1000 grams in the middle. And then we had a force in this direction of 1000 and
weight. So 1000 grams in the middle. And then we had a force in this direction of 1000 and

a force in that direction of 1000. So we have a force down of 1000. But we had a force of
a force in that direction of 1000. So we have a force down of 1000. But we had a force of

1000 in this direction. And a force of 1000 in that direction. And so if you start to
1000 in this direction. And a force of 1000 in that direction. And so if you start to

look at it like a vector quantity, imagine this. That we've got a weight right here but
look at it like a vector quantity, imagine this. That we've got a weight right here but

you have to have two people pulling on it. And so it's like this tug of war where it's
you have to have two people pulling on it. And so it's like this tug of war where it's

not just in one direction, but it's actually in two. And so you can start to see how these
not just in one direction, but it's actually in two. And so you can start to see how these

forces are going to balance out. But only if we look at it from the vector perspective.
forces are going to balance out. But only if we look at it from the vector perspective.

Let me show you what that would actually look like. So if we put these tails up, this would
Let me show you what that would actually look like. So if we put these tails up, this would

be that force down of 1000 grams. This would be the force of the weight. But we also had
be that force down of 1000 grams. This would be the force of the weight. But we also had

a force in this direction. So I'm doing the same rule where I'm lining up my vector from
a force in this direction. So I'm doing the same rule where I'm lining up my vector from

the tail to the tip. And the tail to the tip. And so that diagram that I had on the last
the tail to the tip. And the tail to the tip. And so that diagram that I had on the last

slide, I'm actually moving this one force and you can see that they all sum up to zero.
slide, I'm actually moving this one force and you can see that they all sum up to zero.

And so the reason I like to start talking about vectors and scalars at this problem
And so the reason I like to start talking about vectors and scalars at this problem

is that you could never solve the problem if you're going to go at it from a scalar
is that you could never solve the problem if you're going to go at it from a scalar

perspective. And we're going to do some really cool problems. Let's say I'm sliding a box
perspective. And we're going to do some really cool problems. Let's say I'm sliding a box

across the floor. But how often do you slide a box across the floor and actually pull it
across the floor. But how often do you slide a box across the floor and actually pull it

straight across like that? If you're like me you're pulling a sled or something, you're
straight across like that? If you're like me you're pulling a sled or something, you're

normally pulling it at angle. And once we start pulling it at an angle it becomes a
normally pulling it at angle. And once we start pulling it at an angle it becomes a

totally different force. And we can't solve problems in a scalar way. We have to go and
totally different force. And we can't solve problems in a scalar way. We have to go and

solve if from a vector prospective. And so that's the importance of vectors. Now it's
solve if from a vector prospective. And so that's the importance of vectors. Now it's

a huge thing. So there are lots of things that we can measure in physics. And so what
a huge thing. So there are lots of things that we can measure in physics. And so what

I'm going to try to do, and hopefully I can get this right, is go through and circle all
I'm going to try to do, and hopefully I can get this right, is go through and circle all

the scalar quantities and then go back and circle all the vector quantities. And so if
the scalar quantities and then go back and circle all the vector quantities. And so if

you're watching this video a good thing to do would be to pause it right now. And then
you're watching this video a good thing to do would be to pause it right now. And then

you go through it and circle the ones that you think are scalar and vector. And then
you go through it and circle the ones that you think are scalar and vector. And then

we'll see if we match up at the end. Scalar quantities remember are simply going to be
we'll see if we match up at the end. Scalar quantities remember are simply going to be

magnitude. And so the question I always ask myself when I'm doing this is, okay. Does
magnitude. And so the question I always ask myself when I'm doing this is, okay. Does

it have a direction? And so length is simply the length of a side of something. And so
it have a direction? And so length is simply the length of a side of something. And so

I would put that in the scalar perspective. This is kind of philosophical. Does time have
I would put that in the scalar perspective. This is kind of philosophical. Does time have

a direction? I would say no. Acceleration we already talked about that. That's changing
a direction? I would say no. Acceleration we already talked about that. That's changing

in velocity. What about density? The density of something, that definitely is a scalar
in velocity. What about density? The density of something, that definitely is a scalar

quantity. If I say the density of that is 12.8 grams per cubic centimeter north, it
quantity. If I say the density of that is 12.8 grams per cubic centimeter north, it

doesn't make sense at all. Where are some other scalar quantities? Temperature would
doesn't make sense at all. Where are some other scalar quantities? Temperature would

be a scalar quantity. It's just how fast the molecules are moving. But it's not in one
be a scalar quantity. It's just how fast the molecules are moving. But it's not in one

certain direction. Pressure would be another one that's scalar. It's not directional. It's
certain direction. Pressure would be another one that's scalar. It's not directional. It's

not in one direction. The pressure is, remember air pressure is the one that I always think
not in one direction. The pressure is, remember air pressure is the one that I always think

of as being in all directions. So we wouldn't say that. Let's see mass. The mass of something
of as being in all directions. So we wouldn't say that. Let's see mass. The mass of something

is going to be a scalar quantity as well. And so it doesn't change. Now weight, and
is going to be a scalar quantity as well. And so it doesn't change. Now weight, and

we'll talk about that more later in the year, would actually be a vector quantity. Let's
we'll talk about that more later in the year, would actually be a vector quantity. Let's

see if I'm missing any. No I think this would be good. So let's change color for a second.
see if I'm missing any. No I think this would be good. So let's change color for a second.

So displacement is how far you move from a location. And that's in a direction. So we
So displacement is how far you move from a location. And that's in a direction. So we

call that a vector quantity. Acceleration I mentioned before. Force is going to be a
call that a vector quantity. Acceleration I mentioned before. Force is going to be a

vector. And we'll do these force diagrams which are really fun later in the year. Drag
vector. And we'll do these force diagrams which are really fun later in the year. Drag

is something slowing you down. So if you're a car it's what is slowing you down in the
is something slowing you down. So if you're a car it's what is slowing you down in the

opposite direction of your movement. And so the direction is important. Momentum is a
opposite direction of your movement. And so the direction is important. Momentum is a

product of velocity and the mass of an object. And lift we get from like an airplane wing.
product of velocity and the mass of an object. And lift we get from like an airplane wing.

That would be a vector quantity because it's in a direction. And so these are all vector
That would be a vector quantity because it's in a direction. And so these are all vector

quantities. The ones that I circled in red. But there are way more that we're going to
quantities. The ones that I circled in red. But there are way more that we're going to

find out there. And scalar quantities remember, it's simply just magnitude. Or how big it
find out there. And scalar quantities remember, it's simply just magnitude. Or how big it

is. And so as we go through physics, be thinking to yourself, is this a scalar quantity or
is. And so as we go through physics, be thinking to yourself, is this a scalar quantity or

vector? And if it's vector my problem is a little bit harder, but like Angry Birds, it's
vector? And if it's vector my problem is a little bit harder, but like Angry Birds, it's

more fun when you go the vector route. And so I hope that's helpful and have a great
more fun when you go the vector route. And so I hope that's helpful and have a great

day.
day.