Question

write the vector in component form.

Explanation:

Step1: Identify the initial and terminal points

The initial point (tail) of the vector is \((-10,1)\) and the terminal point (head) is \((0,0)\).

Step2: Use the component formula

The component form of a vector with initial point \((x_1,y_1)\) and terminal point \((x_2,y_2)\) is \(\langle x_2 - x_1,y_2 - y_1
angle\).
Substitute \(x_1=-10,y_1 = 1,x_2=0,y_2 = 0\) into the formula:
For the \(x\)-component: \(0-(-10)=10\)
For the \(y\)-component: \(0 - 1=-1\)

Answer:

\(\langle - 10,-1
angle\)