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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 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

2. Which is not a vector

Displacement

Weight

Electrified intensity

Density

3. An example of vector quantity is

Energy

Force

Work

Power

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

½ √14

√41

½ √17

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

None of these

2 – dimensional space

3 – dimensional space

One – dimensional

6. The scalar quantity in the following is

Displacement

Density

Force

Velocity

7. The direction cosines of y-axis are

0, 1, 0

1, 1, 1

0, 0, 1

1, 0, 0

8. The scalar quantity in the following is

Velocity

Force

Torque

Speed

9. 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

An ellipse

A circle

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

√50

200

√450

√150

11. An example of vector quantity is

Power

Energy

Acceleration

Work

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

None of these

2/3

√3/2

√2/3

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

√279

√297

√290

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

15. The unit vector along z-axis is

None of these

k̂

16. [k – i, i – j, j – k] = ?

-1

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

Branches

Vertices

Directrices

Nappes

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

Constant

Scalar

Variable

Vector

19. An example of scalar quantity is

Power

Force

Acceleration

Velocity

20. A vector of magnitude zero is called

None of these

Position vector

Free vector

Null vector

21.

22.

23. The vector quantity in the following is

Temperature

Impulse

Distance

Energy

24. 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)

6/√17 (– i + 3j – 10k)

5/√110 (– i – 3j – 10k)

25. An example of scalar quantity is

Force

Energy

Velocity

Acceleration

Page 2 of 2

26.

27. 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/6

π/3

π/2

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

Focal axis

Conjugate axis

Minor axis

Major axis

29. A vector with magnitude one is called

Unit vector

Null vector

Zero vector

Constant vector

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

√3/2

1/√2

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

19/8

19/9

8/19

9/19

32. An example of scalar quantity is

Kinetic energy

Acceleration

Force

Weight

33. The perpendicular bisector of any chord of a circle

Does not pass through the center of the circle

May or may not pass through the center of the circle

None of these

Passes through the center of the circle

34. The magnitude of a vector can never be

Negative

Positive

None of these

Zero

35. The scalar quantity in the following is

Force

Displacement

Time

Velocity

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

30°

60°

45°

90°

37. The vector quantity in the following is

Temperature

Energy

Angular acceleration

Distance

38.

39. The conic is a parabola if

e = 1

e > 1

e < 1

None of these

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

41. The scalar quantity in the following is

Pressure

Velocity

Force

Acceleration

42. a x b = b x c = c x a if

Both b and c

a + b + c = 0

a = b = c

a = b + c

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

√2

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

√3

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

None of these

46.

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

√89

√74

√76

48. 3j . k x i

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

50. 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

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.
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