The curve =ti+V3t² j + 2t% k defines a bug's trajectory in the space. (a) Find the vector equation for the tangent line to the bug's path when t = V3. (b) Find the length of the path between the points (2,4/3, 16) and (3, 9/3, 54). (c) Find the curvature k at the point when t = 1.

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