Question

Given vectors u=7i + 3j and v=-4i + 3j, find 5u-4v in terms of unit vectors i and j

Answer 1

THE ANSWER IS A

Explanation:

Answer 2

`5u - 4v = 51i + 3j`

Explanation:

The given vectors are u=7i + 3j and v=-4i + 3j, find 5u-4v in terms of unit vectors i and j.

We substitute the vectors to get:

`5u - 4v = 5(7i + 3j) - 4( - 4i + 3j)`

We perform the scalar multiplication to get:

`5u - 4v = 35i + 15j + 16i - 12j`

Group the components;

`5u - 4v = 35i + 16i + 15j- 12j`

We simplify to get:

`5u - 4v = 51i + 3j`