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pallavi pradeep bhardwaj Grade: 12
        

Sir, plz explain vector triple product?

7 years ago

Answers : (1)

Askiitian.Expert Rajat
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


askiitian Expert

7 years ago
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