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VECTOR TRIPLE PRODUCT

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Unit vector along veca is denoted by hata(if |veca|=1,veca is called a unit vector). Also veca/|veca|=hata and veca=|veca|hata . Suppose veca,vecb,vecc are three non parallel unit vectors such that vecaxx(vecbxxvecc)=1/2vecb [vecpxx(vecxxvecr) is a vector triple product and vecpxx(vecqxxvecr)=(vecp.vecr.vecq)-(vecp.vecq)vecr] . |vecaxxvecc| is equal to (A) 1/2 (B) sqrt(3)/2 (C) 3/4 (D) none of these

Unit vector along veca is denoted by hata(if |veca|=1,veca is called a unit vector). Also veca/|veca|=hata and veca=|veca|hata . Suppose veca,vecb,vecc are three non parallel unit vectors such that vecaxx(vecbxxvecc)=1/2vecb [vecpxx(vecxxvecr) is a vector triple product and vecpxx(vecqxxvecr)=(vecp.vecr.vecq)-(vecp.vecq)vecr] . Angle between veca and vecb is (A) 90^0 (B) 30^0 (C) 60^0 (D) none of these

Unit vector along veca is denoted by hata(if |veca|=1,veca is called a unit vector). Also veca/|veca|=hata and veca=|veca|hata . Suppose veca,vecb,vecc are three non parallel unit vectors such that vecaxx(vecbxxvecc)=1/2vecb [vecpxx(vecxxvecr) is a vector triple product and vecpxx(vecqxxvecr)=(vecp.vecr.vecq)-(vecp.vecq)vecr] . Angle between veca and vecc is (A) 120^0 (B) 60^0 (C) 30^0 (D) none of these

veca.(vecbxxvecc) is called the scalar triple product of veca,vecb,vecc and is denoted by [veca vecb vecc]. If veca, vecb, vecc are cyclically permuted the vaslue of the scalar triple product remasin the same. In a scalar triple product, interchange of two vectors changes the sign of scalar triple product but not the magnitude. in scalar triple product the the position of the dot and cross can be interchanged privided the cyclic order of vectors is preserved. Also the scaslar triple product is ZERO if any two vectors are equal or parallel. [veca+vecb vecb+vecc vecc+veca] is equal to (A) 2[veca vecb vecc] (B) 3[veca,vecb,vecc] (C) [veca,vecb,vecc] (D) 0