Question

write the vector in component form.

Explanation:

Step1: Identify the initial and terminal points

Assume the initial point (tail) is \((x_1,y_1)=(0,0)\) and the terminal point (head) is \((x_2,y_2)=(- 9,-4)\)

Step2: Use the component - form formula

The component form of a vector \(\vec{v}\) 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 \(x_1 = 0,y_1 = 0,x_2=-9,y_2 = - 4\) into the formula:
\(\langle-9-0,-4 - 0
angle=\langle-9,-4
angle\)

Answer:

\(\langle-9,-4
angle\)