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    Vector geometry, cross products, and real inner products.

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    Prove that if u and v are given non-zero vectors in the arbitrary inner-product space V, and are such that <u,v>=0, then {u,v} is a linearly independent subset of V. Show work.

    © BrainMass Inc. brainmass.com June 7, 2023, 2:29 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/math-vector-geometry-cross-products-real-inner-products-12711

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    Solution Summary

    In this solution, it is proven that vectors are a linearly independent subset.

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