Free Vectors and Equilibrium MCQs with Answers

• A. They are equal vectors
• B. They are in the same direction
• C. They are at right angle to each other
• D. They are opposite to each other

Explanation: The Explanation for this question is as follows: Scalar product: A.B = ABcos(theta)

• A. 8
• B. 3
• C. 8/3
• D. 6

Explanation: Formula must be learned by the students.

• A. Scalars
• B. Vectors
• C. Physical
• D. Positive

Explanation: Scalar quantities : Scalar quantities has only magnitude it has no direction.

• A. Weight and mass
• B. Velocity and speed
• C. Force and acceleration
• D. Velocity and energy

Explanation: The Explanation for this question is as follows:

• A. Direction
• B. Magnitude
• C. Direction and magnitude both
• D. Resultant of the vector

Explanation: The Explanation for this question is as follows:

• A. Normal vector
• B. Negative vector
• C. Null vector
• D. Unit vector

Explanation: The Explanation for this question is as follows: Two vectors, having same magnitude but opposite direction are called negative vectors.

• A. Less than the individual vectors
• B. Greater than the individual vectors
• C. Equal to the individual vector
• D. Zero

Explanation: The Explanation for this question is as follows:

• A. Right hand rule
• B. Head-to-tail rule
• C. Left hand rule
• D. Hit and trial principle

Explanation: Head to tail rule is usually used for addition of vectors.

• A. Associative
• B. Commutative
• C. Distributive
• D. Both a) and b)

Explanation: Vector addition follows the commutative property, which means the order of addition does not matter.

• A. Free vector
• B. Fixed vector
• C. Position vector
• D. Parallel vector

Explanation: A vector whose tail lies at the origin of the coordinates and whose head lies at the position of point 'P' in space is often referred to…

• A. Equal
• B. Same
• C. Null
• D. Opposite

Explanation: The Explanation for this question is as follows: Two vectors are considered to be equal only if they have the same magnitude and…

• A. Its x and z components zero
• B. Its y-component equal to zero
• C. Its x and y components equal to zero
• D. None of these

Explanation: The Explanation for this question is as follows: A vector lying along the x-axis has its tail at the origin and its head pointing in the…

• A. the magnitude of the vector is zero
• B. The magnitude of both vectors is same and angle b/w their direction is 90°
• C. The magnitude of both vectors is same and angle b/w their direction is 180°
• D. The magnitude of both vectors is different and angle b/w their direction is 45°

Explanation: The Explanation for this question is as follows:

• A. More
• B. Less
• C. Equal
• D. Thrice

Explanation: The Explanation for this question is as follows:

• A. Less than 90°
• B. Greater than 90°
• C. Equal to 180°
• D. Equal to 90°

Explanation: The Explanation for this question is as follows: The parts of a vector that may be reduced into rectangles are known as rectangular…

• A. Ay = A Cos θ
• B. Ay = A Sec θ
• C. Ay = A Sin θ
• D. Ay = A Tan θ

Explanation: The Explanation for this question is as follows:

• A. Vector quantities
• B. Scalar quantities
• C. Magnitudes
• D. Directions

Explanation: The components of a vector depict the influence of that vector in a given direction.

• A. 30
• B. 270
• C. 330
• D. 60

Explanation: Exp: 1st quadrant -> 0 to 90 degrees 2nd quadrant -> 91 to 180 degrees 3rd quadrant -> 181 to 270 degrees 4th quadrant -> 271 to 360…

• A. Principle of parallelogram
• B. Division of vectors
• C. Resolution of vectors
• D. Factorization of vectors

Explanation: The Explanation: Solution The process of splitting a vector into its components is called resolution of the vector.

• A. 60 degrees
• B. 90 degrees
• C. 120 degrees
• D. 130 degrees

Explanation: R²= A² +B² + 2 AB cos βPutting R = A=B = f, we get β = 120°