What is the dot product of #<5,6,-3 ># and #<-4,8,-5 >#?

1 Answer
Dec 26, 2015

Answer:

#43#

Explanation:

The classic euclidian scalar product is given by the following formula : #AA x=(x_1,...,x_n),y=(y_1,...,y_n) in RR^n : x.y = sum_(i=1)^n x_iy_i#.

We apply it here : #(5,6,-3).(-4,8,-5) = 5*(-4) + 6*8 + (-5)*(-3) = -20 + 48 + 15 = 43#