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 are non-zero non-coplanar vectors and , then [abc] =

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RPSC 2nd Grade Mathematics (Held on 30th June 2017) Official Paper
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  1. [pqr]
  2. [pqr]2
  3. [pqr]-1
  4. 0

Answer (Detailed Solution Below)

Option 1 : [pqr]
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Detailed Solution

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Concept:

If  are three vectors, then  is called the scalar triple product or box product, denoted by [abc]

  • [abc] = [bca] = [cab] (It follows cyclic order)

For four vectors,  quadruple product is given by:

 = [abd]c - [abc]d

Calculation:

We have, 

[pqr] = 

      ...........(1)

∵ 

      .......(2)

put this in (1), 

The correct answer is Option 1

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