If `vecA , vecB and vecC` are vectors such that `|vecB| = |vecC|` prove that `[(vecA+vecB)xx (vecA+vecC)] xx (vecB +vecC) . (vecB + vecC) =0`

If veca, vecb, vecc are vectors such that |vecb|=|vecc| then {(veca+vecb)xx(veca+vecc)}xx(vecbxxvecc).(vecb+vecc)=

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

If veca, vecb, vecc and vecd ar distinct vectors such that veca xx vecc = vecb xx vecd and veca xx vecb = vecc xx vecd . Prove that (veca-vecd).(vecc-vecb)ne 0, i.e., veca.vecb + vecd.vecc nevecd.vecb + veca.vecc.

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

If veca , vecb , vecc are unit vectors such that veca+ vecb+ vecc= vec0 find the value of (veca* vecb+ vecb* vecc+ vecc*veca) .

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

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

Prove that [ veca+ vecb , vecb+ vecc , vecc+ veca]=2[ veca , vecb , vecc] .

If vecA,vecB,vecC are non-coplanar vectors than ( vecA . vecB xx vecC )/(vecCxxvecA.vecB)+(vecB. vecA xx vecC)/( vecC. vecA xx vecB) is equal to

Let veca and vecb are vectors such that |veca|=2, |vecb|=3 and veca. vecb=4 . If vecc=(3veca xx vecb)-4vecb , then |vecc| is equal to