Question

Find and the angle between u and v to the nearest degree: u = < –2, 9 > and v = < 3, –3 >

Answer 1

We have:
$$\vec u = \langle -2, 9 \rangle \\ \vec v = \langle 3, -3 \rangle$$
Our first task is to calculate the dot product between the two vectors.

Answer 2

For two-dimensional vectors like \(\vec u\) and \(\vec v\), the dot product is given by \(\vec u \cdot \vec v = u_1 v_1 + u_2 v_2\).

Answer 3

Let's do that: