Question

A women, flying her plane south at 398 km/h when she encounters a wind blowing west at 104 km/h...
A)...what would her resulting velocity be if she made no course correction
B)...what speed and direction should she change to in order to maintain her original velocity.

Thanks for your help

Answer 1

original: <0,-398>
wind: <-104,0>
result: <-104,-398>
= 411 at 195° or 411 at S15°W

To get back on course, you just need to negate the wind. So, you want

<x,y> + <-104,0> = <0,-398>
<x,y> = <104,-398> or 411 at S15°E