Question

write the vector in component form.

Explanation:

Step1: Identify starting and ending points

The vector starts at the origin $(0,0)$ and ends at the point $(3,6)$.

Step2: Determine component - form formula

For a vector with initial point $(x_1,y_1)$ and terminal point $(x_2,y_2)$, the component - form is $\langle x_2 - x_1,y_2 - y_1
angle$.

Step3: Calculate components

Here, $x_1 = 0,y_1 = 0,x_2 = 3,y_2 = 6$. So, $x_2 - x_1=3 - 0 = 3$ and $y_2 - y_1=6 - 0 = 6$.

Answer:

$\langle3,6
angle$