Evaluate the expression.

r =, v =, w =

v ⋅ w

A)

B) - 26

C) 1

D)

In general if

u =

v =

then

u dot v = a*d + b*e + c*f = dot product of the two vectors

In words: multiply the x coordinates together, then the y together and then z together. Finally add up those three products

So,

v dot w = dot

v dot w = 2 * (-5) + 2 * (-2) + (-2) * 6

v dot w = - 10 - 4 - 12

v dot w = - 26

Answer: B) - 26