Question

How do you compute the dot product for `u=3i+2j` and `v=-2i-3j`?

Answer 1

`- 12`

Explanation:

We have: `u = 3 i + 2 j` and `v = - 2 i - 3 j`

`=> u cdot v = (3 i + 2 j) cdot (- 2 i - 3 j)`

`=> u cdot v = (3 cdot (- 2)) + (2 cdot (- 3))`

`=> u cdot v = - 6 - 6`

`=> u cdot v = - 12`