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The del operator itself is

  • A.a scalar operator that returns the rate of change of any quantity
  • B.a vector of unit magnitude directed along the coordinate axes
  • C.a second rank quantity requiring nine components to describe
  • D.a vector operator with no meaning until applied to a field

Answer: D

It behaves as a vector in that it may be dotted or crossed with a field or multiplied into a scalar, but it consists of differentiations and so has no value on its own. That dual character is why gradient, divergence and curl are all written with the same symbol.

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