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    Altitude of a perallelepiped

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    Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and

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    The altitude of such a parallelepiped is precisely the length of the orthogonal projection of C onto the cross-product of A and B.
    It can be readily seen from a picture. The cross-product A X B is perpendicular to both A and B, and if we project C onto it, ...

    Solution Summary

    The altitude of a parallelepiped determined by three vectors is calculated.