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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. 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

2. 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/√110 (– i – 3j – 10k)

5/√17 (– i – 3j – 10k)

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

√3

4. 3j . k x i

5. The perpendicular bisector of any chord of a circle

Passes through the center of the circle

None of these

May or may not pass through the center of the circle

Does not pass through the center of the circle

6. The scalar quantity in the following is

Displacement

Force

Time

Velocity

7. An example of scalar quantity is

Power

Acceleration

Force

Velocity

8. $Math 21.03$

9. $Math 21.05$

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

2 – dimensional space

None of these

One – dimensional

3 – dimensional space

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

12. a x b = b x c = c x a if

a = b = c

a = b + c

Both b and c

a + b + c = 0

13. The scalar quantity in the following is

Velocity

Force

Torque

Speed

14. The direction cosines of y-axis are

0, 1, 0

1, 1, 1

0, 0, 1

1, 0, 0

15. An example of vector quantity is

Energy

Power

Work

Force

16. 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

17. A vector of magnitude zero is called

None of these

Null vector

Position vector

Free vector

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

Vector

Scalar

Constant

Variable

19. $Math 21.04$

20. The scalar quantity in the following is

Density

Velocity

Force

Displacement

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

22. Which is not a vector

Density

Displacement

Electrified intensity

Weight

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

8/19

19/9

9/19

19/8

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

√290

√279

√297

25. The scalar quantity in the following is

Acceleration

Velocity

Force

Pressure

Page 2 of 2

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

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

½ √17

½ √14

√41

28. The vector quantity in the following is

Distance

Energy

Impulse

Temperature

29. $Math 21.01$

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

√2

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

√74

√76

√89

32. An example of vector quantity is

Energy

Acceleration

Power

Work

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

A circle

An ellipse

A st. line

A parabola

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

200

√150

√450

√50

35. The magnitude of a vector can never be

None of these

Negative

Positive

Zero

36. The unit vector along z-axis is

None of these

k̂

37. A vector with magnitude one is called

Null vector

Zero vector

Constant vector

Unit vector

38. 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

39. The conic is a parabola if

e > 1

e = 1

e < 1

None of these

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

None of these

41. [k – i, i – j, j – k] = ?

-1

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

√3/2

None of these

2/3

√2/3

43. 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/3

π/4

π/6

π/2

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

Major axis

Conjugate axis

Minor axis

Focal axis

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

90°

30°

45°

60°

46. The vector quantity in the following is

Angular acceleration

Energy

Distance

Temperature

47. An example of scalar quantity is

Energy

Acceleration

Force

Velocity

48. $Math 21.02$

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

Branches

Nappes

Vertices

Directrices

50. An example of scalar quantity is

Acceleration

Force

Weight

Kinetic energy

How to Score High in Mathematics Vectors Chapter Online Test?

Mastering scientific subjects requires conceptual clarity.

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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