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GATE199302.3
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If the linear velocity $\vec V$ is given by $$\vec V = x^2y\,\hat i + xyz\,\hat j – yz^2\,\hat k$$
The angular velocity $\vec \omega$ at the point $(1, 1, 1)$ is ________
gate1993
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As i'm not sure about this still, i think this may be true
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GATE199302.9
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GATE199302.8
Q2). In questions 2.1 to 2.10 . Fill in the blank(_) suitably 2.8). Given $\vec v= x\cos ^2y \hat i + x^2e^z\hat j+ z\sin^2y\hat k$ and $S$ the suface of a unit cube with one corner at the origin and edges parallel to the coordinate axes, the value of integral $\int^1 \int_s \vec V. \hat n dS$ is __________.
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GATE199302.6
Q2). In questions from 2.1 to 2.10 below, each black (_______) is to be filled suitably. 2.6). The value of the double integral $\int^{1}_{0} \int_{0}^{\frac{1}{x}} \frac {x}{1+y^2} dxdy$ is_________.
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