Question

It is given `vec u=2vec i+3vec j` and `vec v=3vec i+2vec j` .How to calculate `vec u*vecv`?

Answer 1

`vecu*vecv=((6),(6))=6i+6j`

Explanation:

`vecu=((2),(3))` and `vecv=((3),(2))`

The dot product is given by `veca*vecb=((a_ixxb_i),(a_jxxb_j),(vdotscolor(white)(xx)vdots))`

`vecu*vecv=((2xx3),(3xx2))=((6),(6))=6i+6j`