Question

write the vector in component form.

Explanation:

Step1: Determine the initial and terminal points

The initial point (starting point) of the vector is \((0,0)\) (the origin). The terminal point (ending point) of the vector is \((8,-9)\).

Step2: Use the component - form formula

The component form of a vector with initial point \((x_1,y_1)\) and terminal point \((x_2,y_2)\) is \(\langle x_2 - x_1,y_2 - y_1
angle\).
Substitute \(x_1 = 0,y_1 = 0,x_2 = 8,y_2=-9\) into the formula:
\(\langle8 - 0,-9 - 0
angle\)

Answer:

\(\langle8,-9
angle\)