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    Finding Curvature at a Point

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    Given the vector:

    vector r(t) = t i + 1/2 t^2 j + 1/3 t^3 k

    What is the curvature at t = 1 and how do I calculate this?

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    As we all know, the tangent vector measures the change of "distance" and thus gives the speed of a moving point. The speed change, or acceleration, is measured by the derivative of the tangent vector, which is the second derivative. In fact, there is one more interesting interpretation. Take X as a fixed point and P and ...

    Solution Summary

    Curvature is investigated at a point. The given vectors for a function is determined.