Question

What is the dot product of `<-6,1,0>` and `<2,7,5 >`?

Answer 1

`-5`

Explanation:

To find the dot product of two column matrices `{a_1,b_1,c_1}` and `{a_2,b_2,c_2}` you multiply the equivalent components together as
`a*b = (a_1a_2+b_1b_2 + c_1c_2)`

`<-6,1,0> * <2,7,5> = ((-6*2)+1*7+0*5)`

`=-12+7 = -5`