An arbitrary vector in three-dimensional space is shown along with projections along the three orthogonal axes. Observe how the angles alpha, beta, gamma are defined.
Emphasize that the angle between the vector and any axis is not the same as the angle between the axis and the projection of the vector onto a plane defined by two axes.
Consider passing it around for students to get a hands-on feel for the functions, but be careful of the vector tips.
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