Question

given the vector ( \boldsymbol{u} ) defined by the points:

( (-7,3),(1,5) )

step 1 of 2 : find the component form of the vector. assume the first point is the initial point and the second point is the terminal point.

Explanation:

Step1: Subtract the \(x\) - coordinates

If the initial point is \((x_1,y_1)=(-7,3)\) and the terminal point is \((x_2,y_2)=(1,5)\), for the \(x\) - component of the vector \(\vec{u}\), we use the formula \(x_2 - x_1\).
\(x_2 - x_1=1-(-7)=1 + 7=8\)

Step2: Subtract the \(y\) - coordinates

For the \(y\) - component of the vector \(\vec{u}\), we use the formula \(y_2 - y_1\).
\(y_2 - y_1=5 - 3=2\)

Answer:

The component form of the vector \(\vec{u}\) is \(\langle8,2
angle\)