Question

Vector AB has an initial point (4,3) and terminal point (-5,1). Determine the coordinates of the terminal point of AC if AC = -2AB

A. (-9,-2)
B. (18,4)
C. (22,7)
D. (-4,-3)

Answer 1

(22,7) I Took the quiz and that the answer

Answer 2

Let's assume

point C=(x,y)

we are given

A=(4,3)

B=(-5,1)

now, we can find vector AB

`AB=(-5,1)-(4,3)`

`AB=(-9,-2)`

now, we can find AC

`AC=(x,y)-(4,3)`

`AC=((x-4) , (y-3))`

now, we are given

`AC=-2AB`

now, we can plug values

and we get

`((x-4) , (y-3))=-2(-9,-2)`

`((x-4) , (y-3))=(18,4)`

now, we can equate them equal

and then we can solve for x and y

`x-4=18`

`x=22`

`y-3=4`

`y=7`

so, point C is (22,7).........Answer