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