Question

write the vector in component form.

Explanation:

Step1: Determine the change in x - component

The vector starts at the origin \((0,0)\) and ends at the point \((9,0)\). The formula for the \(x\) - component of a vector \(\vec{v}\) with initial point \((x_1,y_1)\) and terminal point \((x_2,y_2)\) is \(x_2 - x_1\). Here, \(x_1 = 0\) and \(x_2=9\), so \(x_2 - x_1=9 - 0=9\).

Step2: Determine the change in y - component

The formula for the \(y\) - component of a vector \(\vec{v}\) with initial point \((x_1,y_1)\) and terminal point \((x_2,y_2)\) is \(y_2 - y_1\). Here, \(y_1 = 0\) and \(y_2 = 0\), so \(y_2 - y_1=0 - 0 = 0\).

Answer:

\(\langle9,0
angle\)