0:00
In this question.
00:01
We are given the vectors u and v, and we are asked to find the angle between the given vectors, and then find the dot product.
00:09
First of all, let's draw the vectors.
00:12
The first vector has coordinates 9, 0, so it will be somewhere here.
00:26
This corresponds to x equals 9.
00:29
The second vector has coordinates 4, 4, so x equals 4 is here, and then we need to go four steps up, so we'll end up somewhere here.
00:42
Now, note that the vector, so this is the vector u, and this is the vector v.
00:49
Note that the vector v cuts right in the middle through the plane, which, and recall that the first quadrant is 90 degrees.
00:58
This angle here is 90 degrees, and the vector v, therefore the angle between the vector v and the x -axis is going to be 45 degrees...