What is the dot product of #<-8,5,2 > # and #<-3,1,7 > #?

1 Answer
Jan 10, 2016

Answer:

#43#

Explanation:

For any 2 vectors #A=(a_1,a_2,...,a_n) and B=(b_1,b_2,...,b_n)# in a finite dimensional real or complex vector space X, the Euclidean inner product (dot product) is a real or complex number given by
#A*B=a_1b_1+a_2b_2+...+a_nb_n#.

So in this particular case, we work in #X=RR^3# and get

#(-8,5,2)*(-3,1,7)=(-8)(-3)+(5)(1)+(2)(7)#

#=24+5+14#

#=43# #inRR#.