Question

How do you find the component form and magnitude of the vector v given initial point (-2,7) and terminal point (5,-17)?

Answer 1

The vector is `=7veci-24vecj` and the magnitude is `=25`

Explanation:

Let the point `A=(-2,7)`

and `B=(5,-17)`

Then,

`vec(AB)=((5-(-2)),(-17-7))=((7),(-24))`

The magnitude of `vec(AB)` is

`||vec(AB)||=sqrt((7)^2+(-24)^2)=25`