In general if u = <a,b,c> v = <d,e,f> 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 = <2,2,-2> dot <-5,-2,6> v dot w = 2*(-5) + 2*(-2) + (-2)*6 v dot w = -10 - 4 - 12 v dot w = -26