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Sir, plz explain vector triple product?
Hi, The vector triple product If A, B and C are three vectors, then we can combine them in this way: Ax(BxC) to get a vector result, which is known as the vector triple product. As you know, the cross product is calculated using a determinant and we can extend this to Ax(BxC) to get a rather more complicated determinant than the scalar triple product gave us, again involving all three vectors. However there is a much simpler way to evaluate a vector triple product, because it can be shown that this is true: Ax(BxC)=(A.C)B-(A.B)C and (AxB)xC=(C.A)B-(C.B)A. So we can evaluate either of those right-hand sides instead, which do not involve any determinants. However you do need to remember them! Regards, Rajat askiitian Expert
Hi,
If A, B and C are three vectors, then we can combine them in this way:
Ax(BxC)
to get a vector result, which is known as the vector triple product.
As you know, the cross product is calculated using a determinant and we can extend this to Ax(BxC) to get a rather more complicated determinant than the scalar triple product gave us, again involving all three vectors.
However there is a much simpler way to evaluate a vector triple product, because it can be shown that this is true:
Ax(BxC)=(A.C)B-(A.B)C
and
(AxB)xC=(C.A)B-(C.B)A.
So we can evaluate either of those right-hand sides instead, which do not involve any determinants. However you do need to remember them!
Regards,
Rajat
askiitian Expert
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