90 asked in Science & MathematicsEngineering · 1 month ago

Given M = 5 i + 5 j - 5 k and N = i - 3j - 6 k, calculate the vector product M x N.?

Given M = 5 i + 5 j - 5 k and N = i - 3j - 6 k, calculate the vector product M x N.

____ i + ____ j + ____ k

answer and process please

1 Answer

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  • 1 month ago

    Suppose you have 2 vectors in 3-space:

    (Mx, My, Mz) and

    (Nx, Ny, Nz)

    Then the cross product vector (Cx, Cy, Cz) is calculated by

        Cx = MyNz − MzNy

        Cy = MzNx − MxNz

        Cz = MxNy − MyNx

    In your case M = (5, 5, -5) , and N = (1, -3, -6)

    Following the formula above,

    Cx = 5*-6 - -5*-3 = -30 - 15 = -45

    So the first component of your answer is -45 i .  Can you take it from there?

    Note: the form of __i + __j + __k is just another style of notation

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