show that [axb bxc cxa] = [a b c]^2
where a,b,c are vectors
use the formula for crossproduct of four vectors
then use the property that if a vector is repeated in an stp, then the value of the stp is zero
then use the property that interchange of vectors in an stp changes the sign of the stp.
some questions in mathematics for the tamilnadu higher secondary 12th exam, isc , puc pre degree etc.
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