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

√41

½ √14

½ √17

2. A vector with magnitude one is called

Zero vector

Constant vector

Unit vector

Null vector

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

Scalar

Constant

Variable

Vector

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

√450

√50

√150

200

5. A vector of magnitude zero is called

Free vector

Null vector

None of these

Position vector

6. The magnitude of a vector can never be

Negative

Positive

None of these

Zero

7. The scalar quantity in the following is

Torque

Force

Speed

Velocity

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

9. The vector quantity in the following is

Impulse

Distance

Energy

Temperature

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

√845/2

√676

√184

11. An example of vector quantity is

Energy

Power

Work

Acceleration

12. 3j . k x i

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

√74

√76

√89

14. The conic is a parabola if

e < 1

e = 1

e > 1

None of these

15. 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

16. a x b = b x c = c x a if

a = b = c

a + b + c = 0

a = b + c

Both b and c

17. An example of scalar quantity is

Acceleration

Velocity

Force

Power

18. [k – i, i – j, j – k] = ?

-1

19. The perpendicular bisector of any chord of a circle

None of these

May or may not pass through the center of the circle

Passes through the center of the circle

Does not pass through the center of the circle

20. 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 parabola

A st. line

21. 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

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

Conjugate axis

Focal axis

Minor axis

Major axis

23. 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)

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

None of these

25. An example of vector quantity is

Energy

Work

Force

Power

Page 2 of 2

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

3 – dimensional space

None of these

2 – dimensional space

One – dimensional

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

Directrices

Nappes

Branches

Vertices

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

29.

30. 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

31.

32.

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

√3

34. The vector quantity in the following is

Energy

Angular acceleration

Temperature

Distance

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

45°

30°

90°

60°

36. The scalar quantity in the following is

Pressure

Force

Acceleration

Velocity

37. Which is not a vector

Density

Electrified intensity

Displacement

Weight

38. The unit vector along z-axis is

None of these

k̂

39. The direction cosines of y-axis are

0, 0, 1

1, 0, 0

0, 1, 0

1, 1, 1

40. 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/4

π/2

π/6

π/3

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

√2

42. An example of scalar quantity is

Force

Kinetic energy

Acceleration

Weight

43. The scalar quantity in the following is

Time

Velocity

Force

Displacement

44.

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

19/9

9/19

19/8

8/19

46. The scalar quantity in the following is

Force

Density

Velocity

Displacement

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

48. 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

49. An example of scalar quantity is

Energy

Force

Velocity

Acceleration

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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