boarie
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How to Solve Vector Calculus Equations Using Lagrange's Formula?
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J77
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Do you want a general solution, or have you been given, eg., m=(m1,m2,m3), r=(r1,r2,r3), or have you specific values for the vectors m and r?
Either way, do the cross product first, then divide by the scalar magnitude, then apply the curl function.
Either way, do the cross product first, then divide by the scalar magnitude, then apply the curl function.
boarie
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![Equation A(r) = (-m)/|r|^3 + 3[m • r]r/|r|^5, with m and r in bold vector notation and the dot denoting a dot product.](/data/attachments/5/5009-dcb56098943831dc1e21a78b674a9302.jpg?hash=3LVgmJQ4Md){kind=small}
J77
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Quick reply, but to me the transformation seems to lie in using Lagrange's formula:
[tex]a\times(b\times c)=b(a\cdot c)-c(a\cdot b)[/tex]
ie. "BAC minus CAB"
[tex]a\times(b\times c)=b(a\cdot c)-c(a\cdot b)[/tex]
ie. "BAC minus CAB"