If `veca=(0,1,-1,) and vecc=(1,1,1)` are given vectors then find a vector `vecb` satisfying `vecaxxvecb=vecc and veca.vecb=3`

If vecA=(1,1,1) and vecC=(0,1,-1) are given vectors then find a vector vecB satisfying equations vecAxxvecB=vecC and vecA.vecB=3

If veca, vecb, vecc are three non-coplanar vectors, then a vector vecr satisfying vecr.veca=vecr.vecb=vecr.vecc=1 , is

The vectors veca and vecb are not perpendicular and vecc and vecd are two vectors satisfying : vecbxxvecc=vecbxxvecd and veca.vecd=0. Then the vecd is equal to (A) vecc+(veca.vecc)/(veca.vecb)vecb (B) vecb+(vecb.vecc)/(veca.vecb)vecc (C) vecc-(veca.vecc)/(veca.vecb)vecb (D) vecb-(vecb.vecc)/(veca.vecb)vecc

The vectors veca and vecb are not perpendicular and vecac and vecd are two vectors satisfying : vecbxxvecc=vecbxxvecd and veca.vecd=0. Then the vecd is equal to (A) vecc+(veca.vecc)/(veca.vecb))vecb (B) vecb+(vecb.vecc)/(veca.vecb))vecc (C) vecc-(veca.vecc)/(veca.vecb))vecb (D) vecb-(vecb.vecc)/(veca.vecb))vecc

If veca=hatj-hatk and vecc=hati+hatj+hatk are given vectors, and vecb is such that veca.vecb=3 and vecaxxvecb+vecc=0 than |vecb|^(2) is equal to ………………

If veca,vecb and vecc are non coplaner vectors such that vecbxxvecc=veca , veccxxveca=vecb and vecaxxvecb=vecc then |veca+vecb+vecc| =

If veca,vecb,vecc,vecd are four distinct vectors satisfying the conditions vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxd then prove that veca.vecb+vecc.vecd!=veca.vecc+vecb.vecd

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

If veca,vecb and vecc are unit vectors such that veca + vecb + vecc= 0 , then prove that veca.vecb+vecb.vecc+vecc.veca=-3/2

If veca,vecb, vecc are three vectors such that |veca |= 5, |vecb| = 12 and | vecc|=13 and veca+vecb+vecc=0 then veca.vecb+vecb.vecc+vecc.veca is equal to