What is the dot product of #<-7,2,-1 ># and #<0,8,-27 >#?

1 Answer
Jan 27, 2016

Answer:

Dot Product of #A= [7, 2, -1] " and " B = [0, 8, -27]#
#A*B^T# where #B^T# is the transpose of vector #B#
Input matrix #A#:

[7 2 -1]

Input matrix #B^T#:

0
8
-27

Matrix product #A*B^T = -11#

Explanation:

For the dot product simple multiply
#A*B^T = sum_(i=1)^n3a_ib_i#
#A*B^T = a_1b_1 + a_2b_2 + a_3b_3 = (-7*0) + (8*2) + (1*-27) = -11#