Question

Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.

<-1, -1>, square root of two
<1, 1>, square root of two
<1, 1>, 2
<-1, -1>, 2

Answer 1

<1 ,1>..., square root of two

Explanation:

Component of vector PQ...,

; Q - P...where you subtract the x coordinate of Q by the x coordinate of P and the same for the y coordinate

; <(6-5),(9-8)>

; < 1,1 >

And the magnitude of PQ...,

;square root of( 1^2 + 1^2 )

;square root of 2