Question

Let u = <9, 4>, v = <-2, 5>. Find u + v.

Answer 1

u +v = < 7,9 >

Explanation:

Given : u = <9, 4>, v = <-2, 5>

We have to find u + v.

Given : u = <9, 4> =
`9\hat{i}+4\hat{j}`

and v = <-2, 5>=
`-2\hat{i}+5\hat{j}`

We have to add both vectors , that is u + v

`u+v=9\hat{i}+4\hat{j}+(-2)\hat{i}+5\hat{j}\\\\`

Adding elements in matching positions , we get,

`u+v=(9-2)\hat{i}+(4+5)\hat{j}\\\\`

Simplify , we get,

`u+v=(7)\hat{i}+(9)\hat{j}`

Thus, u +v = < 7,9 >

Answer 2

You are given u = <9,4> and v = <-2,5>. You are asked to find u+v. all you need to do is to add them with their respective position. u+v = <9-2, 4+5>, u+v = <7,9>. This is the correct answer.