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Vector Practice Test 1 ( Addition of Vector )

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1 / 78

If a vector is multiplied by a scalar k then the resultant may be

2 / 78

If Ax+ Bx= 0 but Ay + By ≠ 0, then A + B

3 / 78

Vector addition is commutative. That means:

4 / 78

Which statement about vector addition is correct?

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The vectors A and B are such that |A + B| = |A – B|. Then the angle between the two vectors is:

6 / 78

The cross product A × B of two parallel vectors is:

7 / 78

Addition of vectors obey the law of _____

8 / 78

A displacement of 3 km north and 4 km east gives a resultant direction

9 / 78

If the sum of two unit vectors is a unit vector, then the magnitude of their difference and the angle between them are, respectively:

10 / 78

Two vectors A and B are represented by two adjacent sides of a parallelogram. The diagonal passing through their common point represents

11 / 78

In the triangle law of vector addition, the two vectors are represented by two sides of a triangle taken in order. The third side taken in the opposite order represents

12 / 78

Two vectors A and B are collinear and in the same direction. Their resultant has magnitude

13 / 78

A plane flies 300 km due north and then 400 km due west. Its resultant displacement is:

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The dot product A · B of two perpendicular vectors is:

15 / 78

A force of 10 N is resolved into two perpendicular components 6 N and 8 N. When these two components are added back vectorially, the resultant is

16 / 78

Subtracting 2î + 7ĵ from î + ĵ gives ______

17 / 78

Unit vector along the vector 4î + 3ĵ is _____

18 / 78

A = 5î + 0ĵ and B = 0î + 12ĵ. The magnitude of A + B is

19 / 78

If A = 7î + 24ĵ, the magnitude of A is:

20 / 78

A vector of magnitude 13 units has components 5 units and 12 units along two perpendicular axes. These two components are

21 / 78

When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______

22 / 78

Which pair contain one vector and one scalar quantity?

23 / 78

Two forces each of 10 N act at angles of 0° and 90° to the x-axis. What is the magnitude of their resultant?

24 / 78

A body is acted upon by two forces 5 N north and 12 N east. The magnitude of the resultant force is

25 / 78

Two perpendicular forces have magnitudes A and A/2. The magnitude of their resultant is:

26 / 78

At what angle should the two force vectors 5 N and 12 N be added to get a resultant of 13 N?

27 / 78

The minimum possible magnitude of the resultant of two vectors A and B is

28 / 78

The polygon law of vector addition is useful for

29 / 78

When resolving a vector into components and adding vectors by components, the resultant vector’s components along x- and y-axes are obtained by

30 / 78

If two perpendicular vectors of magnitudes A and B are added, the magnitude of the resultant R is:

31 / 78

When two vectors are added and the resultant has magnitude zero, the polygon representing these two vectors must be

32 / 78

Two equal forces each act at a point with an angle of 120° between them. The magnitude of their resultant is:

33 / 78

Which property of vector addition states A + B = B + A?

34 / 78

If u and v are perpendicular unit vectors, then |u – v| equals:

35 / 78

Two displacement vectors 4 m east and 3 m north act on a body. The magnitude of the resultant displacement is

36 / 78

If R is the resultant of two vectors A and B, then the maximum possible value of R is

37 / 78

When subtracting B = 4î + 2ĵ from A = î – 6ĵ, the resultant A – B is:

38 / 78

Two vectors of equal magnitude V with angle 60° to each other. The magnitude of their resultant is:

39 / 78

When A = 2î + 3ĵ + 2k̂ is subtracted from B, the result is 2ĵ. The magnitude of B is:

40 / 78

For any nonzero scalar k, the vector kA is ______ to A.

41 / 78

For two vectors of magnitudes 7 and 24, the resultant has minimum possible magnitude when the angle between them is

42 / 78

For two vectors A and B, if |A + B| = |A – B|, then the angle between A and B is

43 / 78

Vector addition is

44 / 78

Given A = (2, 3) and B = (–2, –3), the graphical sum A + B forms:

45 / 78

Which of the following cannot be a possible resultant when two vectors of magnitudes 6 units and 10 units are added?

46 / 78

Following sets of three forces act on a body. Whose resultant cannot be zero

47 / 78

A = 4î + 3ĵ and B = –2î + 6ĵ. What is the angle θ of R from the +x-axis?

48 / 78

A particle is acted upon by three displacement vectors that form three sides of a triangle taken in order. The net displacement of the particle is

49 / 78

The angle between vector Q and the resultant of (2Q + 2P) and (2Q – 2P)

50 / 78

A = 3î – 4ĵ, B = –5î + 2ĵ. The resultant A + B is:

51 / 78

When two vectors A and B are added head-to-tail, the resultant vector

52 / 78

Adding 2î + 7ĵ and î + ĵ gives ______

53 / 78

A particle moves 5 m east then 12 m north. Its resultant displacement from the start is:

54 / 78

Two vectors A and B add to a resultant purely along the x-axis if:

55 / 78

The magnitude of the cross product A × B is given by

56 / 78

Two vectors are said to be collinear if the angle between them is

57 / 78

Two equal-magnitude vectors at right angles are added. The resultant’s magnitude is V√2 because

58 / 78

On adding two vectors we get _____

59 / 78

If three vectors acting on a particle add to give zero resultant, the vectors can be represented graphically as

60 / 78

The graphical method that uses a parallelogram to find the sum of two vectors is called

61 / 78

A vector in the xy-plane makes an angle of 30° with the y-axis. Its y-component is 2√3. The magnitude of its x-component is:

62 / 78

Which is not part of adding vectors by rectangular components?

63 / 78

If A = 8î + 6ĵ and B = –8î + 6ĵ, the resultant A + B lies:

64 / 78

The condition for two non-zero vectors A and B to give a zero resultant (A + B = 0) is

65 / 78

Adding any vector A to the zero vector 0 gives:

66 / 78

The angle between two equal vectors whose resultant has the same magnitude as any one of them is

67 / 78

Two vectors 10 N and 6 N act in opposite directions along the same line. The magnitude of their resultant is

68 / 78

Two equal forces F act at right angles on a point. The magnitude of their resultant is:

69 / 78

The magnitude of the vector 3A is

70 / 78

Two equal vectors of magnitude 5 units act at 60° to each other. The magnitude of their resultant is

71 / 78

The vector having zero magnitude and arbitrary direction is called

72 / 78

Two vectors 6 N and 8 N act at right angles. The magnitude of their resultant is

73 / 78

A unit vector is defined as a vector whose magnitude is:

74 / 78

A person walks 6 km east and then 8 km west. The magnitude of his resultant displacement is

75 / 78

Which method adds two vectors by drawing them from the same origin to form a parallelogram?

76 / 78

Two vectors of magnitudes 5 and 5 act at a right angle. The magnitude of their resultant is

77 / 78

The correct representation of the vector A in the xy-plane is (in rectangular components):

78 / 78

Two vectors A and B are such that A + B = A – B, then:

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