Question

given thatvABCD is a parallelogram where A(1,2),B(4,4), and C(6,2) determine the coordinates of D using vector?

Answer 1

make a rough sketch, let D be (x,y)
vector AC = vector AB + vector AD
<5,0> = <3,2> + <x-1,y-2>
<5,0> = <x+2,y>

x+2 = 5 ---> x = 3
y = 0

D is (3,0)