Evaluate the expression: v ⋅ w Given the vectors: r = <8, 8, -6>; v = <3, -8, -3>; w = <-4, -2, -6>?

You want the dot product, so you sum the products of corresponding components

v . w =>
3 * (-4) + (-8) * (-2) + (-3) * (-6) =>
-12 + 16 + 18 =>
34 - 12 =>
22

v • w = ( 3 i - 8j - 3k ) • ( - 4 i - 2 j - 6 k )
v • w = -12 + 16 + 18
v • w = 22

22

Formula
If v = <a , b , c> , w = <d,e,f> then v.w = w.v=<ad , be , cf>