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Supposing you were going to make a windshield for a go-cart. In order to decrease wind drag you would want to angle it. Supposing you chose to actually have two pieces of windshield that had a seam down the middle, so you could angle the windshield both upwards and outwards.

Kinda like this

Simply put I would like to know that angle which the wind sees the windshield provided that the windshield is slicked back by angle alpha and inclined back angle beta from the plane contains the z axis and the line which lays on angle alpha. I'm not sure why I choose those to be the angles, but I guess because both of these angles will be less than the angle that the wind sees.

I think I've got thee points that describe the plane, but I'm not sure I went through it the best way. ( [cos(a), sin(a), 0] [sin(a)sin(b), cos(a)sin(b), cos(b)] [0,0,0,] ) I guess you could do a cross product now to get a normal vector then a dot product to find the angle between that normal vector and the normal to the yz plane. If anyone has any suggestions It would be greatly appreciated. Thanks