IF `vecaxxvecb=vecaxxvecc`, then prove that `vecb` differs form `vecc` by as vector which is parallel to `veca.`

If vecaxxvecb = veccxxvecd and vecaxxvecc = vecbxxvecd , show that (veca-vecd) is parallel to (vecb-vecc) .

If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) where veca, vecb and vecc are any three vectors such that veca.vecb!=0, vecb. vecc!=0 then veca and vecc are

Three vectors veca,vecb and vecc satisfy the relation veca.vecb=0 and veca.vecc=0 . The vector veca is parallel to

If veca.vecb=veca.vecc, vecaxxvecb=vecaxxvecc and veca!=vec0, then prove that vecb=vecc.

If vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxvecd show that (veca-vecd) is parallel to (vecb-vecc) . It is given that veca!=vecd and vecb!=vecc .

Let veca, vecb , vecc be non -coplanar vectors and let equations veca', vecb', vecc' are reciprocal system of vector veca, vecb ,vecc then prove that veca xx veca' + vecb xx vecb' + vecc xx vecc' is a null vector.

Let veca, vecb , vecc be non -coplanar vectors and let equations veca', vecb', vecc' are reciprocal system of vector veca, vecb ,vecc then prove that veca xx veca' + vecb xx vecb' + vecc xx vecc' is a null vector.

Three vectors vecA, vecB and vecC satisfy the relation vecA. vecB=0 and vecA. vecC=0. The vector vecA is parallel to

If three vectors vecA, vecB and vecC satisfy the relation vecA.vecB = 0 & vecA.vecC = 0 then the vector vecA is parallel to vecB xx vecC . Statement-2 : vecA _|_vecB and vecA_|_vecC hence A is perpendicular to plane formed by vecB and vecC .

If veca,vecb,vecc are three mutually perpendicular vectors, then the vector which is equally inclined to these vectors is (A) veca+vecb+vecc (B) veca/|veca|+vecb/|vecb|+vec/|vecc| (C) veca/|veca|^2+vecb/|vecb|^2+vecc/|vecc|^2 (D) |veca|veca-|vecb|vecb+|vecc|vecc