00:01
So we're looking at finding linear velocity, which is going to be equal to the angular velocity times r here.
00:06
So angular velocity is going to be given by our vector 4i plus j minus 2k.
00:20
R will be our position in reference to the axis of rotation here, which is going to be 2i minus 2j plus k.
00:32
If we want to multiply these together, then we're going to do the cross product of these two.
00:39
So that is going to equal to, we do our cross product, it's going to be equal to, let's here, it'll be.
00:50
So i'm actually going to put this into a matrix form.
00:53
So i'm going to have it as i, j, k, and then we'll have 4, 1, negative 2, and then 2, and 2, 2, and 2, and 1.
01:05
So if our velocity, our linear velocity, we're going to be taking it'll be i times the determinant of this section here.
01:15
So that is going to be 1 times 1 is 1, minus and negative 2 times negative 2...