Question

write the vector in component form.

Explanation:

Step1: Identify the initial and terminal points

The initial point of the vector is \((0,0)\) (the origin) and the terminal point is \((-3,-6)\).

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 \(\langle x_2 - x_1,y_2 - y_1
angle\). Here, \(x_1 = 0,y_1 = 0,x_2=-3,y_2 = -6\).

$$
LATEXBLOCK0
$$

Answer:

\(\langle - 3,-6
angle\)