Question

Vector A has a magnitude of 10 and points in the positive x-direction. Vector B has a magnitude of 15 and make an angle of 34 degrees with the positive x-axis. What is the magnitude of A - B?

Answer 1

`8.7343` units.

Explanation:

`A-B=A+(-B)`

`=10/_0^@-15/_34^@`

`=sqrt((10-15cos34^@)^2+(15sin34^@)^2)/_tan^(-1)((-15sin34^@)/(10-15cos34^@))`

`=8.7343/_73.808^@`.

Hence the magnitude only is `8.7343` units.