Question

Pls help with this pre-calc problem

Answer 1

we are given

`v_1=(2,-6)`

`v_2=(-4,7)`

(a)

we can find absolute value

`|v_1|=√((2)^2+(-6)^2)`

`|v_1|=2√(10)`

`|v_2|=√((-4)^2+(7)^2)`

`|v_2|=√(65)`

(b)

we can find unit vectors

`v_1'=(v_1)/(|v_1|)`

now, we can plug values

`v_1'=((2,-6))/(2√(10))`

`v_1'=((1)/(√(10)) ,(-3)/(√(10)) )`

`v_2'=(v_2)/(|v_2|)`

now, we can plug values

`v_2'=((-4,7))/(√(65))`

`v_2'=((-4)/(√(65)) ,(7)/(√(65)) )`

(c)

we can draw vectors