vector triple product

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For vectors a, b and c, the vector a×(b×c), being the vector product of a with the vector b×c, is called a vector triple product. The use of brackets here is essential, since (a×bc, another vector triple product, gives, in general, quite a different result. The vector a×(b×c) is perpendicular to b×c and so lies in the plane determined by b and c. In fact, a×(b×c)=(a. c)b−(a. b)c.

Subjects: Mathematics.

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