If `vecx.veca=0vecx.vecb=0 and vecx.vecc=0` for some non zero vector `vecx` then show that `[veca vecb vecc]=0`

If vecx.veca=0 vecx.vecb=0 and vecx.vecc=0 for some non zero vector vecx then show that [veca vecb vecc]=0

If vec x. veca=0, vecx. Vecb= 0, vecx. Vecc=0 for some non-zero vector, vecx, then [ veca vecb vec c]=0 is :

If vecx.veca=0 , vecx.vecb=0 , vecx.vecc=0 and vecxnevec0 then show yhat veca , vecb , vecc are coplanar .

If vecX.vecA=0, vecX.vecB=0,vecX.vecC=0 for some non-zero vector, vecX , then [vecAvecBvecC]=0

If vecX.vecA=0, vecX.vecB=0,vecX.vecC=0 for some non-zero vector, vecX , then [vecAvecBvecC]=0

Let vecr be a non - zero vector satisfying vecr.veca = vecr.vecb =vecr.vecc =0 for given non- zero vectors veca vecb and vecc Statement 1: [ veca - vecb vecb - vecc vecc- veca] =0 Statement 2: [veca vecb vecc] =0

Let vecr be a non - zero vector satisfying vecr.veca = vecr.vecb =vecr.vecc =0 for given non- zero vectors veca vecb and vecc Statement 1: [ veca - vecb vecb - vecc vecc- veca] =0 Statement 2: [veca vecb vecc] =0

Let vecr be a non - zero vector satisfying vecr.veca = vecr.vecb =vecr.vecc =0 for given non- zero vectors veca vecb and vecc Statement 1: [ veca - vecb vecb - vecc vecc- veca] =0 Statement 2: [veca vecb vecc] =0

Let vecr be a non - zero vector satisfying vecr.veca = vecr.vecb =vecr.vecc =0 for given non- zero vectors veca, vecb and vecc Statement 1: [ veca - vecb vecb - vecc vecc- veca] =0 Statement 2: [veca vecb vecc] =0

veca,vecb,vecc are non zero vectors. If vecaxxvecb=vecaxxvecc and veca.vecb=veca.vecc then show that vecb=vecc .