If `vecaandvecb` are non-collinear vector, find the value of x such that the vectors `vecalpha=(x-2)veca+vecbandvecbeta=(3+2x)veca-2vecb` are collinear.

If vec aa n d vec b are non-collinear vectors, find the value of x for which the vectors vecalpha=(2x+1) vec a- vec b""a n d"" vecbeta=(x-2)"" vec a+ vec b are collinear.

The vectors veca and vecb are non collinear. Find for what value of x the vectors vecc=(x-2)veca+vecb and vecd=(2x+1) veca-vecb are collinear.?

if veca and vecb non-zero ad non-collinear vectors, then

If veca and vecb are two non collinear vectors and vecu = veca-(veca.vecb).vecb and vecv=veca x vecb then vecv is

If veca,vecb are non-collinear vectors, then [(veca,vecb,hati)]hati+[(veca,vecb,hatj)]hatj+[(veca,vecb,hatk)]hatk=

If veca and vecb are non-zero, non parallel vectors, then the value of |veca + vecb+veca xx vecb|^(2) +|veca + vecb-veca xx vecb|^(2) equals

If veca and vecb are two non collinear unit vectors and |veca+vecb|=sqrt(3) then find the value of (veca-vecb).(2veca+vecb)

If veca,vecb,vecc are three non zero vectors (no two of which are collinear) such that the pairs of vectors (veca+vecb,vecc) and (vecb+vecc,veca) are colliner, then what is the value of veca+vecb+vecc ? (A) veca is parrallel to vecb (B) vecb (C) vecc (D) vec0

i. If veca, vecb and vecc are non-coplanar vectors, prove that vectors 3veca-7vecb-4vecc, 3veca-2vecb+vecc and veca+vecb+2vecc are coplanar.

Given that veca and vecb are two non zero vectors, then the value of (veca + vecb) xx (veca-vecb) is,