Free Vectors and Equilibrium MCQs with Answers
431 Vectors and Equilibrium MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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Read the Vectors and Equilibrium notesFree MDCAT chapter notes with key terms431 questions · page 15 of 22
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: Explanation is given below in the attached image.
Correct answer: Option D- A. Magnitude of the vector
- B. Square root of the magnitude of the vector
- C. Square of the magnitude of the vector
- D. Same vector
Explanation: When you take the scalar product (dot product) of a vector with itself, also known as the self-product, the result is the square of the…
Correct answer: Square of the magnitude of the vector- A. A and B are perpendicular to each other
- B. A and B are parallel to each other
- C. A and B are anti-parallel to each other
- D. Either A or B is a null vector
Explanation: The dot product being zero indicates that the vectors are orthogonal, and the cross product being zero further confirms that the vectors…
Correct answer: Either A or B is a null vector- A. One component
- B. Two component
- C. Three components
- D. No component
Explanation: Explanation is given below in the attached image.
Correct answer: Three components- A. 7 ms-1
- B. 1 ms-1
- C. 5 ms-1
- D. 2.64 ms-1
Explanation: Explanation is given below in the attached image.
Correct answer: 5 ms-1- A. 60 J
- B. 15 N
- C. 0.06 J
- D. Zero
Explanation: Work = Force x Distance x cosθ In this case, force is 30N, the distance is 2m and the force is acting in the direction of displacement (θ…
Correct answer: 60 J- A. 173.2 J
- B. 1732 J
- C. 86.6 J
- D. 1000 J
Explanation: Explanation is given below in the attached image.
Correct answer: 1732 J- A. Time
- B. Work
- C. Heat
- D. Angular momentum
Explanation: Angular momentum is a vector quantity because it has both magnitude and direction, and it follows the rules of vector addition.
Correct answer: Angular momentum- A. Force
- B. Acceleration
- C. Displacement
- D. Work
Explanation: Work is considered a scalar quantity because it only involves the product of two scalar quantities: force and displacement.
Correct answer: Work- A. Electric Current
- B. Electric field
- C. Acceleration
- D. Linear Momentum
Explanation: Electric current is a scalar quantity. Any physical quantity is defined as a vector quantity when the quantity has both magnitude and…
Correct answer: Electric Current- A. Density
- B. Displacement
- C. Electric field intensity
- D. Angular momentum
Explanation: Density is a scalar quantity because it is defined as the mass per unit volume and only has a magnitude, not a direction.
Correct answer: Density- A. Unit and Direction
- B. Unit
- C. Direction
- D. Number with proper Unit
Explanation: Vectors are essential in physics and other sciences because they provide a more complete and accurate representation of physical…
Correct answer: Direction- A. Force
- B. Work
- C. Momentum
- D. Velocity
Explanation: Work is considered a scalar quantity because it only involves the product of two scalar quantities: force and displacement.
Correct answer: Work- A. Acceleration
- B. Power
- C. Density
- D. Volume
Explanation: Acceleration is considered a vector quantity because it involves both magnitude and direction.
Correct answer: Acceleration- A. Momentum
- B. Force
- C. Acceleration
- D. Mass
Explanation: Mass is considered a scalar quantity because it only has magnitude and no direction.
Correct answer: Mass- A. Volume
- B. Temperature
- C. Velocity
- D. Speed
Explanation: Velocity is considered a vector quantity because it has both magnitude and direction.
Correct answer: Velocity- A. Null vector
- B. Negative vector
- C. Addition of vector
- D. Subtraction of vector
Explanation: Two vectors, having same magnitude but opposite direction are called negative vectors.
Correct answer: Negative vector- A. i . j = 0
- B. i . j = 1
- C. i . j = k
- D. i . j = j
Explanation: The dot product of i and j is zero. This is because these unit vectors are perpendicular to each other in a Cartesian coordinate system.
Correct answer: i . j = 0- A. Scalar
- B. Vector
- C. Functions
- D. None of the above
Explanation: (a) Scalar: Scalar quantities are physical quantities that are fully described by their magnitude or size.
Correct answer: Scalar- A. Unit vector
- B. Product vector
- C. Component vector
- D. Resultant vector
Explanation: (a) Unit vector: A unit vector is a vector that has a magnitude of 1. It is used to represent direction and is often used in calculations…
Correct answer: Resultant vector