Question

How do you find the inner product and state whether the vectors are perpendicular given `<3,4>*<2,5>`?

Answer 1

The inner product `=26`

Explanation:

Let `veca=〈a,b〉`

and `vecb=〈c,d〉`

Then, the inner (dot) product is

`veca.vecb=〈a,b〉.〈c,d〉=(ac+bd)`

`〈3,4〉.〈2,5〉=(3*2+4*5)=6+2.=26`

For the vectors to be perpendicular, the inner product `=0`