300+ TOP MCQs on Fundamentals of Vectors and Answers

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MCQs on Fundamentals of Vectors :

1. What is the vertical component of the force 5 N acting on a particle along a direction making an angle of 60⁰?
(A) 3 N
(B) 2.5 N
(C) 10 N
(D) 4 N

Answer

Answer: (B) 2.5 N

2. What is the direction of cosines of vector (vec{A}=2 hat{i}+4 hat{j}-5 hat{k} ?)

Answer

Answer: (A) (frac{2}{sqrt{45}}, frac{4}{sqrt{45}},-frac{5}{sqrt{45}})

3. What is the minimum number of coplanar vectors with different magnitudes that can be added to get a resultant of zero?
(A) 1
(B) 2
(C) 3
(D) 4

Answer

Answer: (C) 3

4. A fly in the hall of dimensions 10 m×12 m×14 m starts to fly from one corner and ends up at the diametrically opposite corner. What is the magnitude of its flight?
(A) 17 m
(B) 20 m
(C) 26 m
(D) 36 m

Answer

Answer: (B) 20 m

5. Five equal forces of 10 N are applied at a point. If the angle between them is equal, what is the resultant force?
(A) 10 N
(B) 10√2N
(C) 20 N
(D) 0

Answer

Answer: (D) 0

6. Any vector in an arbitrary direction can be replaced by two or three vectors
(A) perpendicular to each other and have the original vector as their resultant
(B) Parallel to each other and have the original vector as their resultant
(C) Arbitrary vectors which have original vectors as their resultant
(D) It is impossible to resolve a vector

Answer

Answer: (C) Arbitrary vectors which have original vectors as their resultant

7. Angular momentum is
(A) A scalar vector
(B) An axial-vector
(C) A polar vector
(D) A displacement vector

Answer

Answer: (B) An axial-vector

8. Which of the following is a vector?
(A) Surface Tension
(B) Moment of Inertia
(C) Pressure
(D) None of the above

Answer

Answer: (D) None of the above

9. Which of the following is a scalar quantity?
(A) Acceleration
(B) Electric Field
(C) Work
(D) Displacement

Answer

Answer: (D) Displacement

10. A boy walks uniformly along the sides of a rectangular park with dimensions 400 m×300 m, starting from one corner to the other corner diagonally opposite. Which of the following statements is false?
(A) His displacement is 700 m
(B) His displacement is 500 m
(C) He has travelled a distance of 700 m
(D) His velocity is not uniform throughout the walk

Answer

Answer: (B) His displacement is 500 m