Vector triple product Assignment Help

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Vector triple product:

The vector product of 2 vectors, one of which is itself vector product of 2 vectors, is a vector quantity as vector triple product.

It can be defined for 3 vectors 758_Linear combinations of vectors4.pngas the vector 1516_Vector triple product1.png. This vector being perpendicular to 2100_Addition of two vectors10.png x 459_Fundamental theorems of vectors.png , is coplanar with that is 1302_Vector triple product2.png

Take scalar product of this equation with a. We get

1644_Vector triple product.png

If we choose coordinate axes in such a way that

1326_Vector triple product3.png

486_Vector triple product4.png, if some or all of 758_Linear combinations of vectors4.png are zero vectors or 2227_Addition of two vectors9.png and 459_Fundamental theorems of vectors.png are collinear.

 

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