1
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
$$\nabla \times \left( {\nabla \times P} \right)\,\,$$ where $$P$$ is a vector is equal to
A
$$P \times \nabla \times P \to {\nabla ^2}P$$
B
$${\nabla ^2}P + \nabla \left( {\nabla .P} \right)\,$$
C
$${\nabla ^2}P + \left( {\nabla \times P} \right)\,\,$$
D
$$\nabla \left( {\nabla .P} \right) \to {\nabla ^2}P$$
2
GATE ECE 1993
Fill in the Blanks
+1
-0
If the linear velocity $${\overrightarrow V }$$ is given by $$\overrightarrow V = {x^2}y\overrightarrow i + xyz\overrightarrow j - y{z^2}\overrightarrow k $$ then the angular velocity $$\overrightarrow W $$ at the point $$\left( {1,1, - 1} \right)$$ is _______.
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