Evaluate the expression. r = < 5, 9, -4> , v = < 3, 3, -8> , w = < 9, -6, -1> v ⋅ w

v ⋅ w = 17

Step-by-step explanation:

We are given that,

v = <3, 3, -8> and w = <9, -6, -1>

It is required to find v ⋅ w.

So, evaluating the expression, we get,

v ⋅ w = <3, 3, -8> ⋅ <9, -6, -1>

i.e. v ⋅ w = 3×9 + 3×(-6) + (-8)×(-1)

i.e. v ⋅ w = 27 - 18 + 8

i.e. v ⋅ w = 35 - 18

i.e. v ⋅ w = 17

Hence, after evaluating, we have, v ⋅ w = 17

step-by-step explanation: