Question

How do you compute the dot product for `<-2, 5>*<-1, -2>`?

Answer 1

`< -2,5>*<-1,-2> = -8`

Explanation:

A dot product of 2 vectors is defined as the sum of products of respective coordinates:

`< x_1,y_1> *< x_2,y_2> =x_1*x_2+y_1*y_2`

In this example we have:

`< -2,5> *< -1,-2> = (-2)xx(-1)+5xx(-2)=2-10=-8`