Assetion: `(vecaxxvecb)xx(veccxxvecd)=[veca vecc vecd]vecb-[vecb vecc vecd]veca` Reason: `(vecaxxvecb)xxvecc=(veca.vecc)vecb-(vecb.vecc)veca` (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: If vecx xx vecb=veccxxvecb and vecxd_|_veca then vecx=((vecbxxvecc)xxveca)/(veca.vecb) , Reason: vecaxx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: |veca+vecb|lt|vec-vecb| , Reason: |veca+vecb|^2=a^2+b^2+2veca.vecb. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: |veca|=|vecb| does not imply that veca=vecb , Reason: If veca=vecb,then |veca|=|vecb| (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: vecc4veca-vecb and veca,veb,vecc are coplanar. Reason Vector veca,vecb,vecc are linearly dependent. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion : If vecA, vecB,vecC are any three non coplanar vectors then (vecA.vecBxxvecC)/(vecCxxvecA.vecB)+(vecB.vecAxxvecc)/(vecC.vecAxxvecB)=0 , Reason: [veca vecb vecc]!=[vecb vecc veca] (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: If veca,vecb,vecc are unit such that veca+vecb+vecc=0 then veca.vecb+vecb.vecc+vecc.veca=-3/2 , Reason (vecx+vecy)^2=|vecx|^2+|vecy|^2+2(vecx.vecy) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion : If |veca|=2,|vecb|=3|2veca-vecb|=5, then |2veca+vec|=5, Reason: |vecp-vecq|=|vecp+vecq| (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: Angle between veca and vecb is (2pi)/3 , Reason: |veca+vecb|^2=|veca|^2+|vecb|^2+2|veca.vecb| (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: Let vecr=l(vecaxxvecb)=m(vecbxxvecc)+n(veccxveca), where l,m,n are scalars and [veca vecb vecc]=1/2. l+m+n=2vecr.(veca+vecb+vec). Reason: veca,vecb,vecc are coplanar (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: Let veca and vecb be any two vectors (vecaxxhati).(vecbxxhati)+(vecaxxhatj).(vecxxhatj)+(vecaxxhatk).(vecbxxhatk)=2veca.vecb., Reason: (veca.hati)(vecb.hati)+(veca.hatj)(vecb.hatj)+(veca.hatk)(vecb.hatk)=veca.vecb. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.