How do you find a vector's position?

Question

a vector v has initial point P and terminal point Q find its position and write v in the form ai+bj

P=(6,-2)

Q= (2,3)

Answer 1

the formula is the terminal point minus initial point

so Q-P =(2,3) - (6,-2) = (-4,5)

so the vector is v=-4i+5j

Answer 2

The difference between

position vector Q=2i+3j

and

position vector P=6i-2j

v=Q-P=(2i+3j)-(6i-2j)

v=-4i+5j

Answer 3

P (6 , - 2) and Q (2 , 3)

---->

PQ = (- 4 __ 5 )  = - 4 i + 5 j = v