Civil Engineering > GATE 2024 SET-1 > Vector Calculus
A vector field $vec{p}$ and a scalar field r are given by
$vec{p}=(2x^{2}-3xy+z^{2})hat{i}+(2y^{2}-3yz+x^{2})hat{j}+(2z^{2}-3xz+x^{2})hat{k}$ r = 6x2 + 4y2 - z2 - 9xyz - 2xy + 3xz - yz
Consider
P: The divergence of vector field $vec{p}$ is zero.
Q: The curl of vector field r is a null vector.
Which one of the following options is CORRECT?
$vec{p}=(2x^{2}-3xy+z^{2})hat{i}+(2y^{2}-3yz+x^{2})hat{j}+(2z^{2}-3xz+x^{2})hat{k}$ r = 6x2 + 4y2 - z2 - 9xyz - 2xy + 3xz - yz
Consider
P: The divergence of vector field $vec{p}$ is zero.
Q: The curl of vector field r is a null vector.
Which one of the following options is CORRECT?
Correct : d
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