1) λ a (λ ≠0, a scalar ) 2) λ b (λ ≠0, a scalar ) 3) λ c (λ ≠0, a scalar ) 4) 0 Answer: (4) 0 Solution: a+2b is collinear with c... View Article
1) PA + PB = PC 2) PA + PB + 2PC = 0 3) PA + PB – 2PC = 0 4) PA + PB + PC = 0 Answer: 3) PA + PB – 2PC = 0 Solution: PA = PC + CA PB = PC +... View Article
1) 2 2) 4 3) 6 4) 3 Answer: (2) 4 Solution: AD =2 OD , EB =2 EO As, FC ∥ ED thus, FC =2 ED Therefore, AD + EB + FC =2 OD +2 EO +2 ED 2(... View Article
1) SG 2) OS 3) SO 4) OG Answer: (3) SO Solution: Given, S is circumcentre, G is the centroid, O is the orthocentre of ∆ABC Let D be the... View Article
(1) √3/2i+1/2j (2) i+j (3) i (4) j Answer: (1) √3/2i+1/2j Solution: If r is the unit vector, then r = cosθ i + sinθ j Given, θ = 30... View Article
1) 0 2) 2a 3) 3b 4) 4c Answer: (1) 0 Solution: Given, Three non - zero collinear vectors a, b and c are such that a + 3b is collinear with... View Article
1) a + (b + c) = 0 2) a × (b + c) = 0 3) a × (b × c) = 0 4) a ∙(b × c) = 0 Answer: (3) a × (b × c) = 0 Solution: Given,vector a is... View Article
1) a 2) 2 a 3) 3a 4) None of these Answer: (2) 2a Solution: Given, u = i x (a x i) + j x (a x j) + k x (a x k) Let vector a = mi + nj + ok,... View Article
1) the harmonic mean of a and b 2) equal to zero 3) the arithmetic mean of a and b 4) the geometric mean of a and b Answer: (4) the geometric... View Article