00:01
In this example, we're given three vectors.
00:04
We're given three velocity vectors.
00:06
What we want to do is find the resultant sum of the three vectors.
00:12
So we have vector a.
00:14
Oops, let's make that black.
00:17
Vector a equals 250 meters per second at 60 degrees.
00:27
Vector b is 75 meters per second at 120 degrees.
00:40
Vector c is 190 meters per second, 205 degrees.
00:52
So how we do this vector addition is we need to separate these vectors, each into their x and y components.
01:01
Then we'll add those components up.
01:03
We'll come up with our resultant vector that will be in component form.
01:07
And then we're going to find its magnitude and its direction.
01:10
Ok, so let's just draw a quick sketch of what these vectors will look like, just so we can have an idea of what we're looking at.
01:18
So here's the x -axis.
01:19
Here's y.
01:21
Ok, so vector a, let's make vector a green.
01:27
So that's 250 meters per second at 60 degrees.
01:31
All these angles are relative to the positive x -axis.
01:35
So 60 degrees, so it's going to look something like this is my vector a.
01:41
Then vector b, let's have blue.
01:44
So 75 meters per second at 120.
01:48
So that's going to be kind of like that.
01:53
That's vector b.
01:54
And then vector c is 190 at 205.
01:58
So that's 25.
02:03
So something like that.
02:06
Ok, so these are our three vectors.
02:09
Vector c, i might have drawn that a little long.
02:13
Let's make it a little bit shorter...