Evaluate the expression: v ⋅ w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Answer 1

r =<8,4,-6>;  v =<6,7,-3>;w =<-7,5,2>

Dot product is a scaler product

if a =<x1,y1,z1>   b= <x2,y2,z2>

a ⋅ b =x1x2+y1y2+z1z2

v ⋅ w =(6)(-7)+(7)(5)+(-3)(2)

       =-42+35-6

       = -13