1) p = 0 2) p = 1 or p = –1/3 3) p = – 1 4) p = 1 or p = – 1 Answer: (2) p = 1 or p = –1/3 Solution: Suppose, i and j are unit vectors... View Article
1) √(136/9) 2) √(136/3) 3) 20/3 4) √(217/9) 5) 25/3 Answer: (1) √(136/9) Solution: Given, position vectors of the points A and B with... View Article
1) √3 2) 1 – √3 3) 1 + √3 4) – √3 Answer: (1) √3 Solution: Suppose, a and b are the two unit vectors. Sum of a and b is also a unit... View Article
1) centroid of Δ ABC is a +b+c/3 (vector i + j + k) 2) (i + j + k ) is not equally inclined to three vectors 3) ∆ ABC is a scalene triangle 4)... View Article
1) –40 2) –20 3) 20 4) 40 Answer: (1) -40 Solution: Let, X, Y and Z denotes the position vectors. Now, if x,y and z are collinear, then... View Article
1) 5b – 4a 2) 5b + 4a 3) 4b – 5a 4) 4b + 5a Answer: (1) 5b-4a Solution: Given, the position vectors of P and Q are respectively, a and b.... View Article
Answer: (1) Solution: Given, vector OP = âcos t + b sin t. Therefore, |OP| is maximum when sin 2t = 1 So, 2t = π/2 t = π/4 Therefore,... View Article