If veca ,vecb and vecc are three mutuall...

If `veca ,vecb and vecc` are three mutually orthogonal unit vectors , then the triple product `[veca+vecb+vecc veca+vecb vecb +vecc]` equals

1 or -1

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The correct Answer is:

Here `[veca vecb vecb] = +- 1`
`[veca +vecb +vecc veca +vecb vecb +vecc]`
` (veca + vecb +vecc) xx (veca +vecb) . (vecb +vecc)`
` vecc xx (veca +vecb) . (vecb +vecc)`
` (vecc xx veca +vecc xx vecb). (vecb +vecc)`
` = vecc xx veca .vecb = [veca vecb vecc] +- 1`

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