Answer:
vector obtained by subtracting vector Z = < 5, -3 > from W = <-6,-5> is V = <-11, -2>
Step-by-step explanation:
Given : vector Z = < 5, -3 > and vector W = <-6,-5>
We have to subtract vector z from vector w
Vector [tex]Z=5\hat{i}-3\hat{j}[/tex]
vector [tex]W=-6\hat{i}-5\hat{j}[/tex]
To subtract vector z from vector w that is
Let the result obtained is vector V
V = W - Z
[tex]V=-6\hat{i}-5\hat{j}-(5\hat{i}-3\hat{j}[/tex]
[tex]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}[/tex]
Thus, vector [tex]V=-11\hat{i}-2\hat{j}[/tex]
Thus, vector obtained by subtracting vector Z = < 5, -3 > from W = <-6,-5> is V = <-11, -2>
