Question

write the vector in component form.

Explanation:

Step1: Identify initial and terminal points

Assume the initial point of the vector is \((x_1,y_1)=(5, - 1)\) and the terminal point is \((x_2,y_2)=(9,9)\) (by observing the grid - points).

Step2: Calculate x - component

The x - component of the vector \(\vec{v}\) is \(x_2 - x_1\). So, \(9 - 5=4\).

Step3: Calculate y - component

The y - component of the vector \(\vec{v}\) is \(y_2 - y_1\). So, \(9-( - 1)=9 + 1 = 10\).

Answer:

\(\langle4,10
angle\)