Question

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

( (1,9),(-4,1) )

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: Recall the formula for component form

If the initial point is \((x_1,y_1)\) and the terminal point is \((x_2,y_2)\), the component form of the vector is \(\langle x_2 - x_1,y_2 - y_1
angle\).

Step2: Substitute the values

Here \(x_1 = 1,y_1=9,x_2=-4,y_2 = 1\).
\(x_2 - x_1=-4 - 1=-5\)
\(y_2 - y_1=1 - 9=-8\)

Answer:

\(\langle - 5,-8
angle\)