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.
Answer:
u +v = < 7,9 >
Step-by-step explanation:
Given : u = <9, 4>, v = <-2, 5>
We have to find u + v.
Given : u = <9, 4> = [tex]9\hat{i}+4\hat{j}[/tex]
and v = <-2, 5>= [tex]-2\hat{i}+5\hat{j}[/tex]
We have to add both vectors , that is u + v
[tex]u+v=9\hat{i}+4\hat{j}+(-2)\hat{i}+5\hat{j}\\\\[/tex]
Adding elements in matching positions , we get,
[tex]u+v=(9-2)\hat{i}+(4+5)\hat{j}\\\\[/tex]
Simplify , we get,
[tex]u+v=(7)\hat{i}+(9)\hat{j}[/tex]
Thus, u +v = < 7,9 >
