Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
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
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -