Question

assignment 8: problem 6 (1 point) if $a=(6, - 2)$ then what is the vector from the origin to $a$? answer: and what is the vector from $a$ to the origin? answer: note: you can earn partial credit on this problem. preview my answers submit answers you have attempted this problem 0 times. you have 5 attempts remaining.

Explanation:

Step1: Find the vector from the origin to \(A\)

If a point \(A=(x,y)\), the vector from the origin \((0,0)\) to \(A\) is given by \(\vec{OA}=\langle x - 0,y - 0
angle\).
For \(A=(6,-2)\), \(\vec{OA}=\langle6-0,-2 - 0
angle=\langle6,-2
angle\)

Step2: Find the vector from \(A\) to the origin

The vector from \(A=(x,y)\) to the origin \((0,0)\) is given by \(\vec{AO}=\langle0 - x,0 - y
angle\).
For \(A=(6,-2)\), \(\vec{AO}=\langle0 - 6,0-(-2)
angle=\langle-6,2
angle\)

Answer:

The vector from the origin to \(A\) is \(\langle6,-2
angle\).
The vector from \(A\) to the origin is \(\langle-6,2
angle\).