### Vector and Equilibrium, Representation of a Vector, Subtraction of Vectors, Orthogonal unit vectors, Position Vectors.

Explore the world of fundamental vector concepts at Nokryan.com, where we break down complex ideas in a clear and understandable manner. Starting with “Vector and Equilibrium,” we dive into the balanced state of vectors, smoothly transitioning into “Representation of a Vector,” which explains different ways to express vectors clearly, whether through magnitude and direction or Cartesian coordinates. Moving on to “Subtraction of Vectors,” we uncover the essential process for analyzing motion and forces. Continuing our journey, “Orthogonal unit vectors” highlight the importance of perpendicular vectors in simplifying calculations. Finally, we demystify “Position Vectors,” crucial for describing spatial relationships, whether in computer graphics or navigation systems. At Nokryan.com, we are dedicated to making these complex mathematical concepts accessible and understandable for all learners.

1. How many vector can be represented

- All of these
**correct** - Bold letter
- Arrow over capital letter
- Graphically

2. The minimum number of unequal forces whose vector sum is zero must be?

- 2
- 1
- 3
**correct** - 5

3. If the line of action of the force passes through the axis of rotation then the torque is?

- Maximum
- Counter clockwise direction
- Clockwise in direction
- Zero
**correct**

4. Vectors are those physical quantities which require

- Magnitude and direction
**correct** - Direction
- None of these
- Magnitude

5. Multiplication of a vector is carried out by a

- Direction
- Number
**correct** - None of these
- Number and direction

6. The positions of two airplanes at any instant are a A (2,3,4) an B (5, 6, 7) from the origin in km. Find the distance between the two airplanes.

- 5.2 Km
**correct** - 3.2 Km
- 4.9 Km
- 5.0 Km

7. When two axes are drawn at right to each other are called:

- All of these
**correct** - Coordinate axes system
- Rectangular coordinate system
- Cartesian system

8. A component of a vector has its?

- Effective value
- B and C
- Normal value
- Given direction
**correct**

9. Vector subtractions is made when vectors are just

- Added
- None of these
- Only make it negative
- First make it negative then add
**correct**

10. The coordinate axes are those in which lines are drawn

- All of these
**correct** - Parallel
- Perpendicular
- At right angle

11. Negative of vector can be made when Magnitude is made negative

- Only directions is changed
**correct** - None of these
- Directions is reverse with negative
- Direction is reverse with negative magnitude

12. Given A = 2i – 2j + K the magnitude of this vector is?

- 1
- 5
**correct** - 2
- 3

13. The component of a vector has its direction as?

- Opposite
- Perpendicular
**correct** - Same
- None of these

14. For a vector A?

- A.A = 0
- A = A2
- A = 1
- A = A
**correct**

15. The unit vectors is not restricted to Cartesian coordinate system only?

- None of these
**correct** - Specific direction
- Any direction
- Not a and b

16. The vector product is?

- Additive
- Anticommutative
**correct** - Associative
- Commutative

17. Rectangular components are those which are

- Perpendicular to each other
- Right angle to each other
- All of these
**correct** - Making angle of 90⁰ with each other

18. Position vector is a vector, which describes the?

- Location of a point with respect to any point
- Location of a point with respect to some related point
- None of these
- Location of a point with respect to origin
**correct**

19. An axes which is at right angle to both X and Y axes and direction is in space is called:

- Zero vector axis
- Z-axis
**correct** - None of these
- Unit vector axis

20. Position vector is a vector which is drawn?

- From one point to another
- None of these
- Always from origin to that point
- From origin to that point
**correct**

**Entry Test 2021 Physics Vectors and Equilibrium MCQS Online Preparation Sample Paper 2 Questions with Answer**

1. The cross product of two perpendicular vectors has magnitude?

- Minimum value
- Zero
- Maximum value
**correct** - None of these

2. The magnitude of the scalar product is

- AB sin Ѳ
- AB
- AB cos Ѳ
**correct** - None of these

3. In right hand rule, the direction of the product vector will be?

- Along the rotation of fingers
- Perpendicular to the erect thumb
- Along the erect thumb
**correct** - None of these

4. The vector sum of three vectors gives a zero resultant. What can be the orientations?

- 90⁰
- 120⁰
**correct** - 180⁰
- 60⁰

5. The cross product of parallel vectors is zero when angle between?

- Ѳ = 90⁰
- A and C
**correct** - Ѳ = 0⁰
- Ѳ = 180⁰

6. Is it possible to add a vector quantity to a scalar quantity?

- None of these
- No
- Never
**correct** - Yes

7. How many the multiplications of vectors are?

- 2
**correct** - None of these
- 1
- 3

8. The cross product of parallel vectors has magnitude

- Zero
**correct** - Minimum value
- None of these
- Maximum value

9. Under what circumstance would a vector have components that are equal in magnitude?

- 135⁰, 225⁰
- None of these
- 45⁰, 145⁰, 245⁰
- 45⁰, 135⁰, 225⁰ and 315⁰
**correct**

10. Vector A lies in XY plane. For what orientation with both of its rectangular components be negative?

- None of these
- I-quadrant
- III-quadrant
**correct** - II-Quadrant

11. When the vectors are mutually perpendicular then their scalar product is?

- Zero
**correct** - Maximum
- Minimum
- None of these

12. Vector A lies in the XY-plane. For what orientation will its components have opposite signs?

- A and C
**correct** - II-quadrant
- IV-quadrant
- III-quadrant

13. The self product of two vectors in cross product is?

- None of these
- Zero
**correct** - Only same vector
- Square of vector

14. Can a vector have a component greater than the vector’s magnitude?

- Yes is same cases
- None of these
- No
- Yes
**correct**

15. Can the magnitude of a vector have a negative value?

- None of these
- Yes
- Yes is same cases
- No
**correct**

16. Find the angle between two forces of equal magnitude of their resultant is also equal to the magnitude of either of these force.

- 180⁰
- 120⁰
**correct** - 360⁰
- 60⁰

17. The position of two aeroplanes at any instant are at A (2, 3, 4) an B (5, 6, 7) from the origin in km. Find the distance between the two aeroplanes.

- 5.0 Km
- 5.2Km
**correct** - 4.9Km
- 3.2Km

18. The magnitude of the scalar Product can also written as?

- None of these
- Magnitude of vector and effective component of vector
**correct** - Vector and perpendicular component of vice vector
- vector and effective component of vector

19. The self product of vector is equal to

- Vector
- Zero
- Square of vector
**correct** - None of these

20. If one of the rectangular components of a vector is not zero, can its magnitude be zero?

- It is zero
- It is not Zero
**correct** - None of these
- It may be negative

**Entry Test 2021 Physics Vectors and Equilibrium MCQS Online Preparation Sample Paper 3 Questions with Answer**

1. The magnitude of i² in scalar product is?

- Zero
- 1
**correct** - Less than 1
- Greater than 0

2. Can a body rotate about its center of gravity under the action of its weight?

- Both
- Yes
- None of these
- No
**correct**

3. The magnitude of j² in cross product is?

- Zero
**correct** - Greater than 1
- 1
- Less than 0

4. Rectangular components of a vector are those which have angle between them?

- 0⁰
- 60⁰
- 90⁰
**correct** - 30⁰

5. A body in equilibrium implies that it is not moving nor rotating?

- Sometimes is equilibrium
- False
**correct** - None of these
- True

6. How would the two vectors of the same magnitude have to be oriented, if they were to be combined to give a result equal to a vector of the same magnitude?

- 270⁰
- None of these
- 60⁰
- 120⁰
**correct**

7. Torque is zero if

- Body is at rest
- Uniform angular acceleration
- Moment arm is zero
**correct** - None of these

8. In torque when the force is kept constant and the moment arm increases, then the torque?

- Increases
**correct** - None of these
- Remains constant
- Decreases

9. The SI units of torque is?

- Nm²
- Nm¯²
- Nm¯¹
- Nm
**correct**

10. Torque is a physical quantity which is?

- Scalar quantity
- Constant quantity
- None of these
- Vector quantity
**correct**

11. Two vectors have unequal magnitudes can their sum be zero?

- Can be zero
- No
- Yes
**correct** - None of these

12. The direction of torque is?

- Perpendicular plan formed by F an r
**correct** - Along F
- None of these
- Along r

13. If we keep the moment arm, fixed while change the force, them, the torque is?

- None of these
- Some what change
- Changed
**correct** - Does not change

14. The perpendicular distance from the axis of rotation to the line of the action of force is called?

- Linear distance
- None of these
- Angular distance
- Momentum arm
**correct**

15. The magnitude of work is zero when the angle between force and displacement is:

- 10⁰
- None of these
- 90⁰
**correct** - 0⁰

16. Can you add zero to a null vector?

- None of these
- No
**correct** - Yes
- Yes is some cases

17. Torque is the turning effect of a?

- Force
**correct** - None of these
- Body
- Momentum

18. If coplanar forces acting on a body form a closed polygon, then the body is said to be in equilibrium?

- False
**correct** - Yes
- None of these

Sometimes is equilibrium

19. The direction of torque can be determined by?

- Left hand rule
- None of these
- Head to tail rule
- Right hand rule
**correct**

20. The two vectors to be combined have magnitude 60 N 35 N. Pick the correct answer from those given below and tell why is it the only one of the three that is correct.

(i)100 N (ii) 70 N (iii)20 N

- (ii)is correct
- (i) is correct

(ii)may be correct**correct**- (iii)is correct