Find the angle θ between vectors r and s, where |r| = 16, |s| = 9, and r · s = 125.

Question

asked Sep 18, 2023 13.1k views

2 Answers

Ria · Answer 1 · 2023-09-24T07:27:44+0000

Explanation:

Hi there!

From the question;

|r| = 16

|s| = 9

And r.s = 125

We know that;

$r.s = |r| . |s| * \cos(θ)$

Now, Keep the values from given;

125 = 16*9*(cosθ)

cos θ= 125/144

cos θ = 0.86

θ = cos'(0.86)

θ = 30.68°

Therefore, the angle of θ made by vector r and s is 30.68°.

Hope it helps!