00:01
Here we're given some information about two vectors, and we want to figure out what their magnitudes are based off of that information.
00:09
The first piece of information that we're told is that the simple sum of the two vectors is 16 units.
00:16
So i'm going to label my two vectors, vectors a and b.
00:21
And so that's telling us that if you just add a and b together, you would get 16.
00:26
Next, we're told that the vector sum is 18, or not 18, eight units, and that the resultant vector is perpendicular to the smaller vector.
00:39
So when you're adding two vectors together, you're going to end up with a triangle connecting those two vectors.
00:48
And so what it's saying in that second sentence is that our triangle that is created is going to be.
00:56
Be a right triangle.
00:59
Oops, let me try and draw that a bit straighter.
01:03
So this is my vector a and this is my vector b.
01:08
The resultant is perpendicular to the shorter vector, and that's r here.
01:15
So we can use the pythagorean theorem in order to figure this part out...