if ` vecalpha||( vecbetaxx vecgamma)` , then `( vecalphaxxbeta).(vecalphaxx vecgamma)` equals to a.`| vecalpha|^2( vecbeta.vecgamma)` b. `| vecbeta|^2( vecgamma. vecalpha)` c. `| vecgamma|^2( vecalpha. vecbeta)` d. `| vecalpha|| vecbeta|| vecgamma|`

If vecalpha||(vecbxxvecgamma), then (vecalphaxxvecbeta).(vecalphaxxvecgamma)= (A) |vecalpha|^2(vecbeta.vecgamma) (B) |vecbeta|^2(vecgamma.vecalpha) (C) |vecgamma|^2(vecalpha.vecbeta) (D) |vecalpha||vecbeta||vecgamma|

Prove that vec R+([ vec Rdot( vecbetaxx( vecbetaxx vecalpha))] vecalpha)/(| vecalphaxx vecbeta|^2)+([ vec Rdot( vecalphaxx( vecalphaxx vecbeta))] vecbeta)/(| vecalphaxx vecbeta|^2)=([ vec R vecalpha vecbeta]( vecalphaxx vecbeta))/(| vecalphaxx vecbeta|^2)

If vecalpha+ vecbeta+ vecgamma=a vecdeltaa n d vecbeta+ vecgamma+ vecdelta=b vecalpha, vecalphaa n d vecdelta are non-colliner, then vecalpha+ vecbeta+ vecgamma+ vecdelta equals a. a vecalpha b. b vecdelta c. 0 d. (a+b) vecgamma

If veca and vecb be any two mutually perpendiculr vectors and vecalpha be any vector then |vecaxxvecb|^2 ((veca.vecalpha)veca)/(|veca|^2)+|vecaxxvecb|^2 ((vecb.vecalpha)vecb)/(|vecb|^2)-|vecaxxvecb|^2vecalpha= (A) |(veca.vecb)vecalpha|(vecaxxvecb) (B) [veca vecb vecalpha](vecbxxveca) (C) [veca vecb vecalpha](vecaxxvecb) (D) none of these

Findthe value of vecalphaxx(vecbetaxxvecgamma) , where, vecalpha=2veci-10vecj+2veck, vecbeta=3veci+vecj+2veck, vecgamma =2veci+vecj+3veck

If vec(alpha)=2hati+3hatj-hatk, vec(beta)=-hati+2hatj-4hatk, vecgamma=hati+hatj+hatk , then (vec(alpha)xxvec(beta)).(vec(alpha)xxvec(gamma)) is equal to

If a( vecalphaxx vecbeta)+b( vecbetaxx vecgamma)+c( vecgammaxx vecalpha)=0 and at least one of a ,ba n dc is nonzero, then vectors vecalpha, vecbetaa n d vecgamma are a. parallel b. coplanar c. mutually perpendicular d. none of these

If veca,vecb,vecc are mutually perpendicular vector and veca=alpha(vecaxxvecb)+beta(vecbxxvecc)+gamma(veccxxveca) and [veca vecb vecc]=1 then vecalpha+vecbeta+vecgamma= (A) |veca|^2 (B) -|veca|^2 (C) 0 (D) none of these

If veca is any then |veca.hati|^2+|veca.hatj|^2+|veca.hatk|^2= (A) |veca|^2 (B) |veca| (C) 2|vecalpha| (D) none of these

If a(vecalphaxxvecbeta)=b(vecbetaxxvecgamma)+c(vecgammaxxvecalpha)=vec0 and at least one of a,b and c is non zero then vectors vecalpha, vecbeta, vecgamma are (A) parallel (B) coplanar (C) mutually perpendicular (D) none of these