Scalar triple product Assignment Help

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Scalar triple product:

It is defined for three vectors 1463_Linear combinations of vectors4.png in that order as scalar 1370_Scalar triple product3.png which can also be written simply as 602_Scalar triple product2.png. It represents the volume of parallelopiped formed by taking a, b, c as the co terminus edges.

That is V = magnitude of 2025_Scalar triple product1.png

570_Scalar triple product.png

The value  of  scalar triple  product  which depends on cyclic  order  of  the  vectors and  is  independent of the  position of  the  dot  and  cross. These may be interchange at pleasure. Anti cyclic permutation of the vectors changes the value of triple product in sign but not a magnitude.

Properties:

1495_Scalar triple product4.png

 

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