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If vecA,vecB,vecC are mutually perpendic...

If `vecA,vecB,vecC` are mutually perpendicular show that `vecCxx(vecAxxvecB)=0`. Is the converse true?

Text Solution

Verified by Experts

`AxxB` is perpendicular to both A and `B` so this is
parallel or antiparallel to `C`. Now, cross, product of
two parallel or antiparallel vectors is zero. Hence,
`Cxx(AxxB) = 0`.
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