Evaluate the expression: v ⋅ w Given the vectors: r = <5, -5, -2>; v = <2, -8, -8>; w = <-2, 6, -5>

Answer 1

v =< 2, -8, -8 >;  w =<-2, 6, -5>

v ⋅ w is a scaler product

if a =<x1, y1 , z1>   b= <x2, y2, z2 >

a ⋅ b =x1x2 + y1y2 + z1z2

v ⋅ w =(2)(-2) + (-8)(6) + (-8)(-5)

       =-4 - 48 + 40

       =- 12