If I worked this out correctly, I think vector u = <-250√3,-250>
and vector v = <-75,0>.
Is this right?
A plane heads on a bearing of 210 degrees at 500 mph; the winds at the cruising altitude are 75 mph from the southwest to the northeast.
Write the vector u representing the velocity of the plane relative to the air and the vector v representing the velocity of the wind.
Can someone please help and explain this to me?
start by making a sketch ... note that the directions are more than likely referenced to true north.
Air vector + Wind vector = Ground vector
you can manipulate vectors using the law of sines/cosines or by using components.