Question

given the points p(2, -6) and r(8, 3), what is the component form of $overrightarrow{pr}$?
<6, -3>
<10, -3>
<6, 9>
<10, 9>

Explanation:

Step1: Recall component - form formula

If we have two points $P(x_1,y_1)$ and $R(x_2,y_2)$, the component - form of the vector $\overrightarrow{PR}=\langle x_2 - x_1,y_2 - y_1
angle$.

Step2: Identify coordinates

Here, $x_1 = 2,y_1=-6,x_2 = 8,y_2 = 3$.

Step3: Calculate $x$ - component

$x_2 - x_1=8 - 2=6$.

Step4: Calculate $y$ - component

$y_2 - y_1=3-(-6)=3 + 6 = 9$.
So, $\overrightarrow{PR}=\langle6,9
angle$.

Answer:

C. $\langle6,9
angle$