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Mathematics Vectors Chapter Online Test

Maan AliLast Updated: October 15, 2025

Start your preparation for Mathematics Vectors Chapter Online Test. This online test contains important MCQs from past papers. Attempting this test will help you prepare for Annual Exams and Entry Tests. Read the questions carefully and select the correct option below to see your result.

Important Math Vectors Question and Answer

Total Questions:	50
Time Allowed:	20 Minutes
Total Marks:	50
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Math Vector Practice Test Online With Explanation

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Page 1 of 2

1. The physical quantity which is completely specified by its magnitude only is called

Vector

Constant

Scalar

Variable

2. The vector quantity in the following is

Temperature

Angular acceleration

Distance

Energy

4. An example of vector quantity is

Acceleration

Energy

Work

Power

6. An example of vector quantity is

Force

Work

Energy

Power

7. An example of scalar quantity is

Weight

Kinetic energy

Force

Acceleration

8. If 1 and 1 are x and y –components of a vector, then its angle with x – axis is

45°

90°

30°

60°

9. An example of scalar quantity is

Acceleration

Power

Force

Velocity

10. The perimeter a triangle formed by 3i + 4j + 5k, 4i -3j -5k and 7i + j is

√50

√450

200

√150

11. The modulus of the sum of three mutually perpendicular unit vectors is

√3

12.

13. a x b = b x c = c x a if

a = b + c

a + b + c = 0

a = b = c

Both b and c

14. The area enclosed by the triangle ABC whose vertices are A(1, 2, -3) B (0,0,0) and c (2, 4, 7) is

√676

√184

√845/2

15. The scalar quantity in the following is

Displacement

Velocity

Force

Density

16. The conic is a parabola if

e < 1

e > 1

e = 1

None of these

17. If u = -I + 2j + 4k and V = 2i –j + 4k are two adjacent sides of a parallelogram then area of parallelogram is

√290

√297

√279

18. The volume of the tetrahedron that has a = I + 2j + 3k, b = 3i + j + 2k and c = 2i + 3j + k as its vertices is

19. 3j . k x i

20. If u = [3, -4], then {u} = ?

√2

21. The magnitude of a vector can never be

Negative

Positive

None of these

Zero

22. A vector of magnitude zero is called

Position vector

Null vector

Free vector

None of these

23.

24. A vector with magnitude one is called

Unit vector

Null vector

Zero vector

Constant vector

25. If the vector 2i + 4j – 7k and 2i + 6j + xk are perpendicular then x = ?

Page 2 of 2

26. The two different parts of the hyperbola are called its

Nappes

Directrices

Vertices

Branches

27. The value of 3j. (^k + ^i) = ?

None of these

28. The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is

A parabola

An ellipse

A st. line

A circle

29. If the angle between two vectors with magnitude 6 and 2 is 60° then their scalar product is

30. The direction cosines of y-axis are

1, 0, 0

0, 0, 1

1, 1, 1

0, 1, 0

31. A force f = 2i + 4j - 2k is applied at P(2, 3, -1) its moment about A(1, 0, 3) is as coterminous edges is

32. The line through the center and perpendicular to the transverse axis is called the

Focal axis

Major axis

Minor axis

Conjugate axis

33. [k – i, i – j, j – k] = ?

-1

34. If V = [2, 1, 3] and w = [–1, 4, 0] then |V – 2w| =

√76

√74

√89

35. The vector quantity in the following is

Temperature

Distance

Energy

Impulse

36. A vector of magnitude 5 and perpendicular to a = i + 3j-k and b = 3i –j is

5/√17 (– i + 3j – 10k)

5/√17 (– i – 3j – 10k)

5/√110 (– i – 3j – 10k)

6/√17 (– i + 3j – 10k)

37. The perpendicular bisector of any chord of a circle

None of these

May or may not pass through the center of the circle

Does not pass through the center of the circle

Passes through the center of the circle

38. The set R³ = {x, y, z): x, y, zε R} is called the

3 – dimensional space

2 – dimensional space

None of these

One – dimensional

39. An example of scalar quantity is

Acceleration

Force

Energy

Velocity

40.

41. The area of a parallelogram whose adjacent sides are represented by 3i k and I + 2j is

√41

½ √14

½ √17

42. The scalar quantity in the following is

Velocity

Acceleration

Pressure

Force

43. The scalar quantity in the following is

Speed

Force

Velocity

Torque

44. The unit vector along z-axis is

None of these

k̂

45. Which is not a vector

Displacement

Density

Weight

Electrified intensity

46. If a and b are two non – zero vectors the component of b along a is

√2/3

2/3

None of these

√3/2

47. The cosine of the angle between the vector a and b where a = I + 2j – k , b = -I + j – 2k is

1/√2

√3/2

48. The scalar quantity in the following is

Force

Velocity

Time

Displacement

49. If the distance of a point on the ellipse x²/6 + y²/2 = 1 from the center is 2, then the eccentric angle is

π/2

π/6

π/3

π/4

50. The projection of a = i – 2j + k along b = 4i – 4j + 7k is

19/8

19/9

9/19

8/19

How to Score High in Mathematics Vectors Chapter Online Test?

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Key Preparation Tips:

Concepts First: Ensure you understand the underlying theories before attempting the MCQs.
Time Management: Attempt this online quiz multiple times to improve your speed.

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