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Unformatted text preview: r = 10 ,θ = π 2 ,φ = π 36 respectively. Determine the shortest distance between these two points if (a) one could travel in a straight line through the sphere, and (b) if you were constrained to move on the spherical surface. 5. Calculate the divergence of the following vector functions: (a) ~v 1 = ( x 1 ) 2 ˆ e 1 + 3( x 1 )( x 3 ) 2 ˆ e 22( x 1 )( x 3 ) ˆ e 3 ; (b) ~v 2 = ( x 1 )( x 2 )ˆ e 1 + 2( x 2 )( x 3 ) 2 ˆ e 2 + 3( x 1 )( x 3 ) ˆ e 3 ; 6. Calculate the curl of the following vector functions: (a) ~v 1 = ( x 1 ) 2 ˆ e 1 + 3( x 1 )( x 3 ) 2 ˆ e 22( x 1 )( x 3 ) ˆ e 3 ; (b) ~v 2 = ( x 1 )( x 2 )ˆ e 1 + 2( x 2 )( x 3 ) 2 ˆ e 2 + 3( x 1 )( x 3 ) ˆ e 3 ;...
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This note was uploaded on 01/28/2010 for the course PHYS 351 taught by Professor Gangopashyaya during the Spring '09 term at Loyola Chicago.
 Spring '09
 Gangopashyaya
 Magnetism

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