Question

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

Answer 1

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`