Let `veca=(3,-1,0) and vecb=(1/2, 3/2, 1)` Fidnthe vector `vec c` satisfying `vecaxxvecc =4vecb and veca.vecc=1`

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=hati+hatj+hatk and vecb=hatj-hatk find a vector vecc such that vecaxxvecc=vecb and veca.vecc=3 .

Let veca=hati-hatj,vecb=hati+hatj+hatk and vecc be a vector such that vecaxxvecc+vecb=vec0 and veca.vecc=4 , then |vecc|^(2) is equal to:

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

Let veca, vecb, vecc be three vectors of magntiude 3, 4, 5 respectively, satisfying | [[veca, vecb, vecc]] |=60. If (veca+2vecb+3vecc).((vecaxxvecc)xxvecb+vecb)=lambda then lambda is equal to

Let vec a, vec b, vec c are three vectors such that veca .veca=vecb . vecb = vecc . vecc = 3 and |veca-vecb|^2+|vecb-vecc|^2+|vecc-veca|^2=27, then

Angle between vectors veca and vecb " where " veca,vecb and vecc are unit vectors satisfying veca + vecb + sqrt3 vecc = vec0 is

if veca , vecb ,vecc are three vectors such that veca +vecb + vecc = vec0 then

Let veca , vecb and vecc be three non-zero vectors such that veca + vecb + vecc = vec0 and lambda vecb xx veca + vecbxxvecc + vecc xx veca = vec0 then find the value of lambda .