Assertion:Points A,B,C are collinear, Reason: `vec(AB)xxvec(AC)=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: Three points with position vectors vecas,vecb,vecc are collinear if vecaxxvecb+vecbxxvecc+veccxxveca=0 Reason: Three points A,B,C are collinear Iff vec(AB)xxvec(AC)=vec0 (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: r=15 Reason : ^nC_x=^InC_yrarrx+y=n (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.

Assetion: a_1,a_2,a_3,…………. an are not in G.P. Reason: a_(n+1)=a_n (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 vec(AB)=3hati-3hatk and vec(AC)=hati-2hatj+hatk , then |vec(AM)|=sqrt(6) Reason, vec(AB)+vec(AC)=2vec(AM) (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: ABCD is a rhombus. Reason: AB=BC=CD=DA and AC!=BD . (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 ABCDEF is a regular hexagon and vec(AB)=veca,vec(BC)=vecb and vec(CD)=vecc, then vec(EA) is equal to -(vecb+vecc) , Reason: vec(AE)=vec(BD)=vec(BC)+vec(CD) (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 vecr.veca=0, vecr.vecb=0, vecr.vecc=0 for some non zero vector vecr e then veca,vecb,vecc are coplanar vectors. Reason : If veca,vecb,vecc are coplanar then veca+vecb+vecc=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: 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.