If `veca=hati+hatj+hatk, vecb=2hati-hatj and vecc=3hatj+hatk` then verify the following: `veca.(vecb+vecc)=veca.vecb+veca.vecc`.

If veca=hati+hatj+hatk, vecb=2hati-hatj and vecc=3hatj+hatk then verify the following: (veca+vecb).(veca-vecb)=a^2-b^2 .

If veca=2hati+2hatj-hatk, vecb=3hati-hatj-hatk and vecc=hati+2hatj-3hatk then verify that vecaxx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc .

if veca=hati-hatj-3hatk, vecb=4hati-3hatj+hatk and vecc=2hati+hatj+2hatk, verify that vecaxx(vecb+vecc)=vecaxxvecb+vecaxxvecc

If vecaa=hati+2hatj+3hatk, vecb=2hati-hatj+hatk and vecc=hati+hatj-2hatk, verify that vecaxx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc.

If veca=7hati+3hatj-5hatk, vecb=2hati+5hatj-hatk and vecc-hati+2hatj+4hatk, then verify that vecaxx(b+c)=vecaxxvecb+vecaxxvecc

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

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,hatb=hati-hatj+hatk,vecc=hati+2hatj-hatk , then find the value of |{:(veca.veca,veca.vecb,veca.vecc),(vecb.veca,vecb.vecb,vecb.vecc),(vecc.veca,vecc.vecb,vecc.vecc):}|

If veca=2hati+3hatj+4hatk,veca.vecb=2 and vecaxxvecb=2hati-hatk , then vecb is