If `vec a` is a unit vector, `veca xx vecr=vecb,veca*vecr=c,veca*vecb=0` then `vec r` is equal to

If veca=hati+hatj+hatk, vecb=hati-hatj+hatk, vec c=hati+2hatj-hatk , then the value of |(veca*veca,veca*vecb, veca*vecc),(vecb*veca, vecb *vecb,vecb*vecc),(vec c*veca, vec c*vec b,vec c*vec c)| is equal to :

If veca=hati+hatj+hatk, vecb=hati-hatj+hatk, vec c=hati+2hatj-hatk , then the value of |(veca*veca,veca*vecb, veca*vecc),(vecb*veca, vecb *vecb,vecb*vecc),(vec c*veca, vec c*vec b,vec c*vec c)| is equal to :

If veca and vecb are mutually perpendicular unit vectors, vecr is a vector satisfying vecr.veca =0, vecr.vecb=1 and (vecr veca vecb)=1 , then vecr is:

If veca and vecb are mutually perpendicular unit vectors, vecr is a vector satisfying vecr.veca =0, vecr.vecb=1 and (vecr veca vecb)=1 , then vecr is:

If veca, vecb, vecc are three non-zero non-null vectors are vecr is any vector in space then [(vecb, vecc, vecr)]veca+[(vecc, veca, vecr)]vecb+[(veca, vecb, vecr)]vecc is equal to

If [vec a vecb vec c] ne 0 and vecP=(vec b xx vec c)/([veca vecb vec c]), vecq=(vec c xx veca)/([veca vec b vec c]), vec r =(vec a xx vec b)/([veca vecb vec c ]) , then veca. vecp+ vecb. vecq+ vec c.vecr is equal to …………

If veca .vecb = veca.vec cand veca xx vecb = veca xx vec c,veca ne0 , then

Let veca=2hati+3hatj+4hatk, vecb=hati-2hatj+hatk and vecc=hati+hatj-hatk. If vecr xx veca =vecb and vecr.vec c=3, then the value of |vecr| is equal to