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    Solving for a Vector

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    Question:

    Show that if vector r x (d(vector r)/(dt)) = 0, |vector r| is constant.

    © BrainMass Inc. brainmass.com October 10, 2019, 4:05 am ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/solving-vector-448573

    Solution Preview

    Let us assume r_vector = r*(i_cap * cos(theta) + j_cap * sin(theta))

    here unit vector along the direction of r_vector: r_cap = (i_cap * cos(theta) + j_cap * sin(theta))

    as magnitude of r_vector = r = constant (given)

    Therefore,
    dr_vector/d(theta) = r * d(r_cap)/d(theta) = r * (i_cap*(-sin(theta)) + j_cap * ...

    Solution Summary

    This solution is comprised of a detailed, step by step response which explains how to solve this vector based problem.

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