Question

Vector z=<5,-3> is subtracted from vector w=<-6,-5>

Answer 1

vector obtained by subtracting vector Z = < 5, -3 > from W = <-6,-5> is V = <-11, -2>

Explanation:

Given : vector Z = < 5, -3 > and vector W = <-6,-5>

We have to subtract vector z from vector w

Vector
`Z=5\hat{i}-3\hat{j}`

vector
`W=-6\hat{i}-5\hat{j}`

To subtract vector z from vector w that is

Let the result obtained is vector V

V = W - Z

`V=-6\hat{i}-5\hat{j}-(5\hat{i}-3\hat{j}`

`V=-6\hat{i}-5\hat{j}-5\hat{i}+3\hat{j}\\\\V=(-6-5)\hat{i}+(-5+3)\hat{j}\\\\V=(-11)\hat{i}+(-2)\hat{j}`

Thus, vector
`V=-11\hat{i}-2\hat{j}`

Thus, vector obtained by subtracting vector Z = < 5, -3 > from W = <-6,-5> is V = <-11, -2>