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Orthonormalization of a set of vectors

I know of the commands Orthogonalize[] and Normalize, but how can I combine them into one command that its output will be an orthonormalized list of the input vecotrs? Thanks in advance. P.S How to ...
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Automatic inverse for Lambert’s Azimuthal Equal-Area Projection

I’m interested in finding closed-form inverses for map projection equations in general (of course, this is not always possible). I’m hoping Mathematica can help me with some of the trickier ones. As ...