Coordinate Systems and Vector Calculus Quiz

It represents the rate of expansion of a vector field.

It is a scalar quantity. (correct)

It is always zero.

It relates to the rotation of a vector field.

Divergence is always negative.

Negative divergence is always zero.

Negative divergence and divergence are the same concept.

Negative divergence represents compression while divergence represents expansion. (correct)

It connects surface integrals and line integrals over a vector field. (correct)

It states that the gradient of a curl is zero.

It proves that the curl gradient is always nonzero.

It relates the curl of a vector field to its divergence.

<p>By showing that the cross product of gradient and curl is zero. (D)</p> Signup and view all the answers

<p>$\sqrt{13}$ (D)</p> Signup and view all the answers

<p>It indicates the flow or spreading behavior of a vector field. (A)</p> Signup and view all the answers