Solve the following siultaneous equation for vectors `vecx and vecy, if vecx+vecy=veca, vecx xxvecy=vecb, vecx.veca=1`

Solve the following simultaneous equation for vecx and vecy : vecx + vecy=veca, vecx xxvecy=vecb and vecx.veca=1

Sholve the simultasneous vector equations for vecx and vecy: , vecx+veccxxvecy=veca and vecy+veccxxvecx=vecb, vec!=0

Find |vecx|, if for a unit vector veca, (vecx-veca).(vecx+veca) = 12 .

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

Calculate the angle between the vectors veca=3veci+2vecj and vecb=2veci+vecj

Vectors vecA and vecB satisfying the vector equation vecA+ vecB = veca, vecA xx vecB =vecb and vecA.veca=1 . Vectors and vecb are given vectosrs, are

Vectors vecA and vecB satisfying the vector equation vecA+ vecB = veca, vecA xx vecB =vecb and vecA.veca=1 . Vectors and vecb are given vectosrs, are

If veca vecb are non zero and non collinear vectors, then [(veca, vecb, veci)]hati+[(veca, vecb, vecj)]hatj+[(veca, vecb, veck)]hatk is equal to

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 .