Question

What is the dot product of `<-5,2,8 >` and `<-1,6,2 >`?

Answer 1

The answer is `=33`

Explanation:

The dot product of `2` vectors, `veca= < x_1, x_2, x_3>` and `vecb = < y_1, y_2, y_3>` is

`veca.vecb=< x_1, x_2, x_3>.< y_1, y_2, y_3>`

`=x_1y_1+x_2y_2+x_3y_3`

Therefore,

`< -5, 2, 8>.< -1, 6, 2> = (-5*-1)+(2*6)+(8*2)`

`=5+12+16=33`