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Which of the following is NOT a valid vector operation?

  • A.the divergence of a scalar
  • B.the gradient of a scalar
  • C.the curl of a vector
  • D.the divergence of a vector

Answer: A

Correct answer: the divergence of a scalar

Divergence takes a vector and returns a scalar, so it has nothing to operate on when given a scalar. The valid operations are gradient on a scalar, and divergence and curl on a vector - and the Laplacian, which is the divergence of a gradient and so applies to a scalar by way of a vector.

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