change of azimuth of a plane

[rmcdow]

[h=3]A plane's long axis is tilted at "a" degrees to the horizontal. The plane is rotated on the long axis "b" degrees. How is the new azimuth of the plane calculated? Assume that the beginning azimuth is 0.[/h]

 

[tkhunny]

I think you will be made happiest by examining Normal Vectors to your planes. What do you know of Normal Vectors?

 

[mmm4444bot]

What is the definition of "a plane's long axis"

 

[rmcdow]

Attached is a drawing of the problem I posted. The three input variables are illustrated: Tilt of the long axis, rotation of the long axis, and current azimuth. With these three as inputs, what is wanted is a formula for the azimuth of the tilted and rotated plane.

 

[rmcdow]

what is wanted

I think you will be made happiest by examining Normal Vectors to your planes. What do you know of Normal Vectors?

Please look at the drawing I posted.

 

[rmcdow]

I think you will be made happiest by examining Normal Vectors to your planes. What do you know of Normal Vectors?

Actually what I am looking for is not the normal vector, but the projected azimuth of the plane as viewed from above. The normal vector would be the unprojected angle, but would not be the entire solution for the azimuth of the tilted and rotated plane.