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> = \(9\hat{i}+4\hat{j}\)
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 >
