Question

if (r) is ((-4,7)) and (s) is ((-2,12)), what is the component form of the vector (overrightarrow{rs})? ((-3,9.5)) ((8,84)) ((-6,19)) ((2,5))

Explanation:

Step1: Recall vector - component formula

If $\vec{RS}$ has initial point $R(x_1,y_1)$ and terminal point $S(x_2,y_2)$, then $\vec{RS}=\langle x_2 - x_1,y_2 - y_1
angle$.
Here, $x_1=-4,y_1 = 7,x_2=-2,y_2 = 12$.

Step2: Calculate the $x$ - component

$x_2 - x_1=-2-(-4)=-2 + 4=2$.

Step3: Calculate the $y$ - component

$y_2 - y_1=12 - 7=5$.
So, $\vec{RS}=\langle2,5
angle$.

Answer:

D. $\langle2,5
angle$