Can someone help me understnad this picture?

Question

anonymous · Answer

attachment

anonymous · Answer

@vinnv226

anonymous · Answer

I understand hw to get the comppoonenet form of the plane, just not the wind, and if it said that the wind was from the SE, how come its going in a NW direction????

anonymous · Answer

We have a plane flying in a three dimensional coordinate system. i, j, and k are the unit vectors (i points east, or positive x direction, while j points north, or positive y direction, and z points out of the page). They're giving you the vector that represents the velocity of the plane with no wind and the wind vector. We need to add these vectors.

If wind is coming FROM one direction, it is HEADED in the opposite direction. If I leave from my house, I am not heading towards my house, I'm headed away from it.

anonymous · Answer

Wow, ok, I had a slow moment and the opposite of SE is Nw ok, now

anonymous · Answer

how do we know the angle it makes?

anonymous · Answer

It's assumed that the wind is parallel to the ground, and you can tell this because the z component of the wind vector is 0. It's headed straight in the NW direction so it makes a 45 degree with each of the x and y axes.

anonymous · Answer

Ok, thanks very much!