Question

question
given the points q(-5, -4) and p(-3, 7), determine the position vector of $overrightarrow{pq}$.
select the correct answer below:
(-2, 11)
(11, 2)
(-11, -2)
(2, 11)
(-11, 2)
(-2, -11)

Explanation:

Step1: Recall vector - component formula

If $\vec{PQ}$ with $P(x_1,y_1)$ and $Q(x_2,y_2)$, then $\vec{PQ}=\langle x_2 - x_1,y_2 - y_1
angle$.

Step2: Identify coordinates

Here $x_1=-3,y_1 = 7,x_2=-5,y_2=-4$.

Step3: Calculate x - component

$x_2 - x_1=-5-(-3)=-5 + 3=-2$.

Step4: Calculate y - component

$y_2 - y_1=-4 - 7=-11$.
So $\vec{PQ}=\langle - 2,-11
angle$.

Answer:

A. $\langle - 2,-11
angle$