MCQs (Multiple Choice Questions ) Scalars And Vectors 2

26. To add vectors we add their representative lines by

(a) Head to tail rule                               (b) Right hand rule

(c) Left hand rule                                (d) Hit and trial principle

27. If a force of ION makes an angle a 300 with x-axis, its

x-component is given by

(a) 0.866N                                          (b) 0.886N

(c) 89.2N                                            (d) 8.66N

28. Two forces each of ION magnitude act on a body. If the forces are inclined at 30° and 60° with x-axis, then the x-component of their

resultant is

(a) ION                                               (b) 1.366N

(c) I3.66N                                           (d) 136.6N

29. When two equal forces F and F make an angle of 180° with each

other, the magnitude of their resultant is

(a) F                  (b) 2F                        (c) 0                     (d) 3F

30. The vector in space has

(a) Three components                        (b) One components

(c) Four components                          (d) Six components

31. The scalar product of two vectors A and B at an angle 0 with

each other is

(a) AB sin0                                         (b) AB

(c) AB cos()                                       (d) AB sec()

32. The scalar or dot product of A with itself i.e. A . A is equal to

(a) 2A               (b) A2                 (c) A/2                 (d) None of the above

33. The scalar product of two vectors is zero ( a . b) = 0 when

(a)      They are at right angles to each other

(b)     They are equal vectors

(c)      They are in the same direction

(d)     They are opposite to each other

34. If the vectors A and B are of magnitude 4 and 3 cm making of 30° and 900respectively with X-axis, their scalar product will be

(a) 0 cm2                (b) 18 cm 2                  (c) 6.0 cm                  (d) 21 cm

35. If the dot product of two non-zero vectors vanishes, the vectors will be

(a) Parallel to each other                    (b) Anti-parallel to each other
(c) Perpendicular to each other (d) None of the above

2                              2

(a) 0 cm2                (b) 18 cm 2                  (c) 6.0 cm                  (d) 21 cm

25.        d

26.         a

27.               d

28.          c

29.        c

30.         a

31.               c

32.          b

33.        a

34.         c

35.               c

36.          d

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