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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. Which is not a vector

Weight

Displacement

Electrified intensity

Density

2. A vector with magnitude one is called

Constant vector

Null vector

Zero vector

Unit vector

3. The vector quantity in the following is

Distance

Temperature

Impulse

Energy

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

5. The perpendicular bisector of any chord of a circle

None of these

Passes through the center of the circle

Does not pass through the center of the circle

May or may not pass through the center of the circle

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

√184

√845/2

√676

7. An example of vector quantity is

Force

Work

Power

Energy

9. A vector of magnitude zero is called

Null vector

Free vector

None of these

Position vector

10. 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

A st. line

A circle

An ellipse

11. 3j . k x i

12.

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

Vertices

Directrices

Branches

Nappes

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

√279

√290

√297

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

None of these

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

None of these

2/3

√2/3

√3/2

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

√3

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

Vector

Scalar

Variable

Constant

19. The scalar quantity in the following is

Velocity

Speed

Force

Torque

20. [k – i, i – j, j – k] = ?

-1

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

√89

√74

√76

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

23. The scalar quantity in the following is

Density

Force

Displacement

Velocity

24. The magnitude of a vector can never be

Positive

None of these

Negative

Zero

25. The vector quantity in the following is

Energy

Angular acceleration

Temperature

Distance

Page 2 of 2

26. a x b = b x c = c x a if

a = b = c

Both b and c

a + b + c = 0

a = b + c

27. The unit vector along z-axis is

k̂

None of these

28. The conic is a parabola if

e > 1

e < 1

None of these

e = 1

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

30. 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

31. An example of vector quantity is

Acceleration

Power

Work

Energy

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

√2

33. 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/4

π/6

π/3

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

30°

45°

60°

90°

35. The scalar quantity in the following is

Acceleration

Pressure

Force

Velocity

36. The scalar quantity in the following is

Velocity

Time

Displacement

Force

37.

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

√150

√50

√450

200

39. 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

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

3 – dimensional space

One – dimensional

None of these

2 – dimensional space

41. An example of scalar quantity is

Force

Velocity

Acceleration

Power

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

Focal axis

Major axis

Minor axis

Conjugate axis

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

6/√17 (– i + 3j – 10k)

5/√17 (– i + 3j – 10k)

5/√17 (– i – 3j – 10k)

5/√110 (– i – 3j – 10k)

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

19/9

19/8

9/19

8/19

45.

46. An example of scalar quantity is

Acceleration

Velocity

Energy

Force

47. The direction cosines of y-axis are

1, 1, 1

0, 0, 1

0, 1, 0

1, 0, 0

48. An example of scalar quantity is

Force

Kinetic energy

Acceleration

Weight

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

√41

½ √17

½ √14

50.

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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