If `vecx xxvecy=veca, vecy xx vecz=vecb, vecx.vecb=gamma, vecx.vecy=1 and vecy.vecz=1 ` then find x,y,z in terms of `veca,vecb and gamma`.

Vectors vecx,vecy,vecz each of magnitude sqrt(2) make angles of 60^0 with each other. If vecx xx(vecyxxvecz)=veca ,vecyxx(veczxxvecx) =vecb and vecx xxvecy=vecc , find vecx, vecy, vecz in terms of veca,vecb and vecc .

Let vecx, vecy and vecz be unit vectors such that vecx+vecy+vecz=veca, vecx xx(vecyxxvecz)=vecb, (vecx xxvecy)xxvecz=vecc, veca.vecx=3/2, veca.vecy=7/4 and \|veca|=2 . Find vecx,vecy,vecz in terms of veca,vecb,vecc.

If vecr.veca=0, vecr.vecb=1and [vecr vecavecb]=1,veca.vecbne0,(veca.vecb)^(2)-|veca|^(2)|vecb|^(2)=1, then find vecr in terms of veca and vecb .

If vecr.veca=0, vecr.vecb=1and [vecr vecavecb]=1,veca.vecbne0,(veca.vecb)^(2)-|veca|^(2)|vecb|^(2)=1, then find vecr in terms of veca and vecb .

If vecX. vecY=vecX.vecZ, is vecY=vecZ always?

Four vectors veca, vecb, vecc and vecx satisfy the relation (veca.vecx)vecb=vecc+vecx where vecb.veca ne 1 . The value of vecx in terms of veca, vecb and vecc is equal to

If veca=veci+vecj+veck, veca.vecb=1 and vecaxxvecb=vecj-veck, then vecb equals

If |veca|=|vecb|=|veca+vecb|=1 then find the value of |veca-vecb|

If vecA=2veci+3vecj+4veck and vecB=4veci+3vecj+2veck, find vecAxxvecB .