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3. (2 credit _) Short Answer Questions. Answer the following questions. These calculations should all be fairly quick, so not much justification is necessary for

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3. (2 credit _) Short Answer Questions. Answer the following questions. These calculations should all be fairly quick, so not much justification is necessary for each part. (a) Find the equation of a plane passing through the point (1, 2, 3) that is perpendicular to the vector 4i +5j +6k. (b) Find a vector parameterization for the line that passes through the points (1, 2, 5) and (-1, 2, 0). (c) Let F(x, y, z) = (cos (y), sin (a), cos (x)). Find V x F - the curl of F. V X F(x, y, z) = (d) Let G(x, y, z) = (ery, eyz, ezz). Find V . G - the divergence of G. V . G(x, y, z) =

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