GATE (TF) Textile 2010 Question Paper Solution | GATE/2010/TF/43

Question 43 (Textile Engineering & Fibre Science)

The divergence of the vector field $(x-y)\hat{i}+(y-x)\hat{j}+(x+y+z)\hat{k}$ is

(A)	0
(B)	1
(C)	2
(D)	3

[Show Answer]

A= $(x-y)\hat{i}+(y-x)\hat{j}+(x+y+z)\hat{k}$

Div of vector A= $(\frac{\delta}{\delta x}\hat{i}+\frac{\delta}{\delta y}\hat{j}+\frac{\delta}{\delta z}\hat{k}) \dot ((x-y)\hat{i}+(y-x)\hat{j}+(x+y+z)\hat{k})$

Div of vector A= $(\frac{\delta}{\delta x} ())$

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