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Response to VectorAnalysis

• To: MATHGROUP at christensen.cybernetics.net
• Subject: [mg238] Response to VectorAnalysis
• From: REECE_D <REECE+_D%A1%Electromagnetic_Sciences at mcimail.com>
• Date: Mon, 28 Nov 94 09:35 EST

Richard Chen wrote asking about VectorAnalysis and crossing
two vectors in cylindrical space.

The package as you presented it worked fine.

{a1,a2,a3} x {0,0,1} is truly {Sqrt[(a1 Sin[a2])^2+...}

Convert the cylindrical vectors to cartesian vectors to convince
yourself.

If you want {a1,a2,a3} x {0,0,1} = {a2,-a1,0}, you
will need to do this cross product in cartesian space.

Here is a follow on question regarding my understanding of
VectorAnalysis.  Does it convert vectors to cartesian vectors, perform
the requested operation and then convert back?  I'm wondering
why the Sin^2+Cos^2 terms show up in the first component of Mr. Chen's
operation.

-Daryl Reece