Evaluate the expression: v ⋅ w

Question

Given the vectors:

r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Answer 1

Assuming v = 6i + 7j - 3k and w = -7i + 5j + 2k,

 

v·w = (6)(-7) + (7)(5) + (-3)(2)

 

You can finish from here.

Answer 2

v - w = <6 - (-7), 7 - 5, -3 - 2>

 

Can you simplify?