Question

write the vector in component form.

Explanation:

Step1: Identify starting and ending points

Assume the starting - point of the vector is \((x_1,y_1)\) and the ending - point is \((x_2,y_2)\). By observing the graph, if we assume the starting - point is \((- 8,-6)\) and the ending - point is \((6,-2)\).

Step2: Calculate the x - component

The x - component of the vector \(\vec{v}\) is \(x_2 - x_1\). So, \(x=6-(-8)=6 + 8=14\).

Step3: Calculate the y - component

The y - component of the vector \(\vec{v}\) is \(y_2 - y_1\). So, \(y=-2-(-6)=-2 + 6 = 4\).

Answer:

\(\langle14,4
angle\)