Home/Mathematics/Mathematics Vectors Chapter Online Test

Mathematics Vectors Chapter Online Test

Maan AliLast Updated: October 15, 2025

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.
Test Helpful For:	ECAT Entry Test Mathematics Online Test Interview Questions about Mathematics All Universities Entrance Test Recruitments Tests

Math Vector Practice Test Online With Explanation

Please wait...

Page 1 of 2

1. Which is not a vector

Density

Displacement

Weight

Electrified intensity

2. An example of scalar quantity is

Energy

Acceleration

Velocity

Force

3. 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

√676

√845/2

5. 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

6. 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

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

2/3

√3/2

None of these

√2/3

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

Directrices

Vertices

Branches

Nappes

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

9/19

8/19

19/8

19/9

10. An example of vector quantity is

Work

Energy

Acceleration

Power

11.

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

13. The direction cosines of y-axis are

1, 0, 0

0, 1, 0

1, 1, 1

0, 0, 1

14. The magnitude of a vector can never be

None of these

Positive

Negative

Zero

15. An example of vector quantity is

Work

Force

Energy

Power

16. The unit vector along z-axis is

k̂

None of these

17. A vector of magnitude zero is called

Free vector

Null vector

Position vector

None of these

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

½ √17

½ √14

√41

19. A vector with magnitude one is called

Zero vector

Unit vector

Null vector

Constant vector

20. 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)

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

Scalar

Vector

Constant

Variable

22.

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

Focal axis

Minor axis

Conjugate axis

Major axis

24. 3j . k x i

25. An example of scalar quantity is

Force

Kinetic energy

Acceleration

Weight

Page 2 of 2

26. The vector quantity in the following is

Distance

Temperature

Energy

Impulse

27. The vector quantity in the following is

Distance

Energy

Angular acceleration

Temperature

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

30°

90°

45°

60°

29. 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

30. The scalar quantity in the following is

Velocity

Time

Displacement

Force

31. 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/6

π/4

π/2

π/3

32.

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

√2

34. 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

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

36. The scalar quantity in the following is

Velocity

Displacement

Force

Density

37. An example of scalar quantity is

Acceleration

Force

Velocity

Power

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

√3

39. The perpendicular bisector of any chord of a circle

None of these

Passes through the center of the circle

May or may not pass through the center of the circle

Does not pass through the center of the circle

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

√89

√74

√76

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

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

√450

200

√50

√150

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

None of these

44. [k – i, i – j, j – k] = ?

-1

45. a x b = b x c = c x a if

a = b = c

a + b + c = 0

Both b and c

a = b + c

46. The scalar quantity in the following is

Velocity

Force

Torque

Speed

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

None of these

2 – dimensional space

3 – dimensional space

One – dimensional

48. The conic is a parabola if

e > 1

None of these

e = 1

e < 1

49. The scalar quantity in the following is

Force

Pressure

Velocity

Acceleration

50.

You Can Learn and Gain more Knowledge through our Online Quiz and Testing system Just Search your desired Preparation subject at Gotest.

Mathematics Linear Inequalities and Linear Programming Test ...
Mathematics Inverse Trigonometric Functions Online Test
Mathematics Application of Trigonometry Online Test
Mathematics Solution of Trigonometric Functions Online Test
Mathematics Functions and Limits Online Test
Mathematics Induction and Binomial Theorem Online Test
Mathematics Differentiation Online Test
Mathematics Integration Online Test
Mathematics Permutations Combinations and Probability Online...
Mathematics Introduction to Analytic Geometry Online Test

Maan AliLast Updated: October 15, 2025

Mathematics Vectors Chapter Online Test

Important Math Vectors Question and Answer

Math Vector Practice Test Online With Explanation

Related Posts

Maan Ali

Leave a Reply Cancel reply