Question

write the vector in component form.

Explanation:

Step1: Identify vector endpoints

The terminal point is $(-8, -9)$; the initial point is $(2, -5)$.

Step2: Calculate x-component

Subtract initial x from terminal x:
$x = -8 - 2 = -10$

Step3: Calculate y-component

Subtract initial y from terminal y:
$y = -9 - (-5) = -4$

Step4: Write component form

Combine x and y components: $\langle -10, -4
angle$

Answer:

$\langle -10, -4
angle$