Question

Evaluate the expression:

v ⋅ w

Given the vectors:

r = <8, 8, -6>; v = <3, -8, -3>; w = <-4, -2, -6>

Answer 1

v.w = 22

Explanation:

We are given

r = <8, 8, -6>; v = <3, -8, -3>; w = <-4, -2, -6>

and we need to evaluate v.w

Using the formula: v.w = vxwx+vywy+vzwz

Putting values and solving:

v.w = 3(-4)+(-8)(-2)+(-3)(-6)

v.w = -12+16+18

v.w = 22

So, v.w = 22