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    Gradient, Divergence and Curl (II)

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    Real Analysis
    Gradient, Divergence and Curl (II)

    Verify
    1.▼*(F × G) =G*▼×F - F*▼×G
    2.▼×(fF) = f▼×F + (▼f)×F

    If (▼^2 = δ^2/δx^2 + δ^2/δy^2 + δ^2/δz^2)
    Show
    3. ▼*(f▼g - g▼f) = f▼^2g - g▼^2f

    © BrainMass Inc. brainmass.com June 3, 2020, 5:35 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/gradient-divergence-and-curl-ii-31422

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    Solution Summary

    This solution is comprised of a detailed explanation of the problems of Gradient, Divergence and Curl.
    It contains step-by-step explanation for the following problem:
    Verify
    1.▼*(F × G) =G*▼×F - F*▼×G
    2.▼×(fF) = f▼×F + (▼f)×F

    If (▼^2 = δ^2/δx^2 + δ^2/δy^2 + δ^2/δz^2)
    Show
    3. ▼*(f▼g - g▼f) = f▼^2g - g▼^2f

    Solution contains detailed step-by-step explanation.

    $2.19

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