Assertion: Let `veca=hati+hatj and vecb=hatj-hatk` be two vectors. Angle between `veca+vecb and veca-vecb=90^0` Reason: Projection of `veca+vecb on veca-vecb` is zero (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 : A^-1 exists, Reason: |A|=0 (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: 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: Tr(A)=0 Reason: |A|=1 (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) both A and R is false.

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|=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: If veca and vecb re reciprocal vectors, then veca.vecb=1 , Reason: If veca=lamda vecb, lamda epsilon R^+ and |veca||vecb|=1 , then veca and vecb are reciprocal. (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 is a perpendicular to vecb and vecb , then vecaxx(vecbxxvecc)=0 Reason: If vecb is perpendicular to vecc then vecbxxvecc=0 (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: vecr.veca and vecb are thre vectors such that vecr is perpendicular to veca vecrxxveca=vecbrarrvecr=(vecaxxvecb)/(veca.veca) , Reason: vecr.veca=0 (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.