Vector - Questions and Answers, MCQs, Class 11, NEET, JEE Previous Questions

Vector - Questions and Answers, MCQs, Class 11, NEET, JEE Previous Questions 

1. If  and the vector having the same magnitude as B and parallel to A is 

2. A force of 5 N acts on a particle along a direction making an angle of 60° with vertical. Its vertical component be

   (a) 10 N                                                               (b) 3 N 

   (c) 4 N                                                                 (d) 2.5 N

3. If a particle moves from point P (2,3,5) to point Q (3,4,5). Its displacement vector be

4. The position of a particle in a rectangular-co-ordinate system is (3, 2, 5). Then its position vector will be

5. The vector projection of a vector on y-axis is                                      [RPMT 2004] 

    (a) 5                                        (b) 4 

    (c) 3                                        (d) Zero

6. A hall has the dimensions 10m x 12m x 14m  A fly starting at one corner ends up at a diametrically opposite corner. What is the magnitude of its displacement 

    (a) 17 m                                  (b) 26 m 

    (c) 36 m                                  (d) 20 m

7. How many minimum number of coplanar vectors having different magnitudes can be added to give zero resultant 

    (a) 2                                        (b) 3 

    (c) 4                                        (d) 5

8. The vector that must be added to the vector and so that the resultant vector is a unit vector along the y-axis is

9. If the direction of cosines of the vector A are 

10. Vector A makes equal angles with x, y and z axis. Value of its components (in terms of magnitude of A) will be

11. The unit vector along is 

12. Given vector the angle between A and y-axis is                             [CPMT 1993]

13. The expression is a 

  (a) Unit vector                                (b) Null vector 

  (c) Vector of magnitude    (d) Scalar

14. The magnitude of a given vector with end points (4, -4, 0) and ( -2, -2, 0) must be 

   (a) 6                                               (b) 

   (c) 4                                               (d)

15. 100 coplanar forces each equal to 10 N act on a body. Each force makes anglewith the preceding force. What is the resultant of the forces 

   (a) 1000 N                                     (b) 500 N 

   (c) 250 N                                       (d) Zero

16. Angular momentum is                                                                                                  [MNR 1986] 

   (a) A scalar                                    (b) A polar vector 

   (c) An axial vector                        (d) None of these

17. Any vector in an arbitrary direction can always be replaced by two (or three) 

   (a) Parallel vectors which have the original vector as their resultant

   (b) Mutually perpendicular vectors which have the original vector as their resultant

   (c) Arbitrary vectors which have the original vector as their resultant 

   (d) It is not possible to resolve a vector

18. The angle made by the vector with x- axis is                     [EAMCET (Engg.) 1999]  

   (a) 90°                                            (b) 45° 

   (c) 22.5°                                         (d) 30

19. Five equal forces of 10 N each are applied at one point and all are lying in one plane. If the angles between them are equal, the resultant force will be                                                      [CBSE PMT 1995]

   (a) Zero                                          (b) 10 N 

   (c) 20 N                                         (d)

20. A vector is represented by. Its length in  XY  plane is    [EAMCET (Engg.) 1994] 

   (a) 2                                               (b)

   (c)                                 (d)

21. If a unit vector is represented by, then the value of c is 

                                                                                                           [CBSE PMT 1999; EAMCET 1994] 

   (a) 1                                               (b)

   (c)                             (d)

22. Which of the following is a scalar quantity                                                                  [AFMC 1998] 

   (a) Displacement                          (b) Electric field 

   (c) Acceleration                            (d) Work

23. The position vector of a particle is. The velocity of the particle is                                                                                                                                  [CBSE PMT 1995] 

   (a) Parallel to the position vector 

   (b) Perpendicular to the position vector 

   (c) Directed towards the origin 

   (d) Directed away from the origin

24. Ifthen which of the following is NOT correct

25. Which of the following is a vector 

    (a) Pressure                                  (b) Surface tension 

    (c) Moment of inertia                  (d) None of these

26. The angle between the two vectors and is

    (a) 60°                                          (b) Zero 

    (c) 90°                                          (d) None of these

27. With respect to a rectangular cartesian coordinate system, three vectors are expressed as   

where are unit vectors, along the X, Y and Z-axis respectively. The unit vectors 'r' along the direction of sum of these vector is                                                                   [Kerala CET (Engg.) 2003]                               

28. Surface area is                                                                                                          [J&K CET 2002] 

     (a) Scalar                                     (b) Vector 

     (c) Neither scalar nor vector       (d) Both scalar and vector

29. The unit vector parallel to the resultant of the vectors  

[EAMCET 2000]                   

30. A boy walks uniformly along the sides of a rectangular park of size 400 m × 300 m, starting from one corner to the other corner diagonally opposite. Which of the following statements is incorrect

                                                                                                                                       [HP PMT 1999] 

    (a) He has travelled a distance of 700 m 

    (b) His displacement is 700 m 

    (c) His displacement is 500 m 

    (d) His velocity is not uniform throughout the walk