Syllabus Vector Differentiation - Velocity and Acceleration - Gradient ...
Syllabus Vector Differentiation - Velocity and Acceleration - Gradient ...
Syllabus Vector Differentiation - Velocity and Acceleration - Gradient ...
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Engineering Mathematics - II - <strong>Vector</strong> Calculus - 2007<br />
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r <br />
0 2r x a ( r . a) 0 a x r<br />
r<br />
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2( r x a) r x a<br />
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3( r x a)<br />
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iii) Curl{r<br />
n<br />
( a x r )} r<br />
n<br />
Curl( a x r ) r<br />
n<br />
x( a x r )<br />
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r <br />
r<br />
n<br />
Curl( a x r ) nr<br />
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r<br />
n<br />
Curl( a x r ) nr<br />
n2<br />
{( r . r ) a ( r . a) r }<br />
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r<br />
n<br />
Curl( a x r ) nr<br />
n<br />
a nr<br />
n2<br />
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i j k<br />
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Consider ( a x r ) a1 a2<br />
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i(a2z<br />
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k<br />
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2 a<br />
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in (1)<br />
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Curl{r<br />
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(n 2)r<br />
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