- #1
How to Solve Vector Calculus Equations Using Lagrange's Formula?
- Thread starter boarie
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To solve vector calculus equations using Lagrange's formula, start by performing the cross product of the vectors involved. After obtaining the cross product, divide it by the scalar magnitude and then apply the curl function. The discussion highlights the importance of understanding the transformation using Lagrange's formula, specifically the identity a×(b×c) = b(a·c) - c(a·b). Participants seek clarification on deriving specific forms of the solution provided. Expert advice is requested to better understand the application of these mathematical principles.
- #2
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.
- #3
- #4
J77
- 1,091
- 1
Quick reply, but to me the transformation seems to lie in using Lagrange's formula:
a\times(b\times c)=b(a\cdot c)-c(a\cdot b)
ie. "BAC minus CAB"
a\times(b\times c)=b(a\cdot c)-c(a\cdot b)
ie. "BAC minus CAB"
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Undergrad
No, I didn't notice. Can you show me?
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