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`        Sir, plz explain vector triple product?`
8 years ago

24 Points
```										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
```
8 years ago
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