MATHEMATICS HIGH SCHOOL

Vector AB has an initial point (4,3) and terminal point (-5,1). Determine the coordinates of the terminal point of AC if AC = -2ABA. (-9,-2)
B. (18,4)
C. (22,7)
D. (-4,-3)

Answers

Answer 1

Answer:

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

Answer 2

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

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Answers

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