Prove that the triple scalar product of (A B), (B C), and (C A), is equal to the square

Chapter 6, Problem 13

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QUESTION:

Prove that the triple scalar product of (A B), (B C), and (C A), is equal to the square of the triple scalar product of A, B, and C. Hint: First let (BC) = D, and evaluate (A B) D. [See Am. J. Phys. 66, 739 (1998).]

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QUESTION:

Prove that the triple scalar product of (A B), (B C), and (C A), is equal to the square of the triple scalar product of A, B, and C. Hint: First let (BC) = D, and evaluate (A B) D. [See Am. J. Phys. 66, 739 (1998).]

ANSWER:

Step 1 of 3

...........(1)

Where,        

 

So equation one will be,

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