Question

given the vector ( u ) defined by the points:
( (-6,2),(5,-8) )
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 a vector has initial point \((x_1,y_1)\) and terminal point \((x_2,y_2)\), its component form is \(\langle x_2 - x_1,y_2 - y_1
angle\).
Here \(x_1=-6,y_1 = 2,x_2=5,y_2=-8\).

Step2: Calculate the \(x\) - component

\(x\) - component: \(x_2 - x_1=5-(-6)=5 + 6=11\)

Step3: Calculate the \(y\) - component

\(y\) - component: \(y_2 - y_1=-8 - 2=-10\)

Answer:

\(\langle11,-10
angle\)