Question: If u = 3y^2ex xey + 5ez, v = xex + (y z)ey, and a = 5x^3 y + yz, evaluate: (a) uv (b) uv

If u = 3y^2ex xey + 5ez, v = xex + (y z)ey, and a = 5x^3 y + yz, evaluate: (a) uv (b) uv (c) v (d) a (e) u Based on your answers above, evaluate the following true/false assertions: (a) The dot product of two vectors is a scalar. (b) The cross product of two vectors is a scalar. (c) The curl of a vector is a vector. (d) The gradient of a scalar is a scalar. (e) The divergence of a vector is a scalar

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