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 18 of 22
- A. 0°
- B. 30°
- C. 60°
- D. 90°
Explanation: The following is the solution: Dot product of two vectors A and B is given as: A.B = |A|*|B|* cosθ where θ is the angle between A and B.
Correct answer: 0°- A. The displacement of 3 units is not along any axis
- B. The displacement of 3 units along z-axis
- C. The displacement of 3 units along y-axis
- D. The displacement of 3 units along x-axis
Explanation: D is the correct answer. The notation d=3i signifies a displacement of 3 units along the positive x-axis.
Correct answer: The displacement of 3 units along x-axis- A. Ax2 + Ay2 + Az2
- B. (Ax + Ay + Az)2
- C. (Ax2 + Ay2 + Az2)1/2
- D. A/√3
Explanation: The following is the solution: For a given 3-Dimensional vector: A = Axi + Ayj + Azk Its magnitude may be obtained by product, expressed…
Correct answer: (Ax2 + Ay2 + Az2)1/2- A. F√2
- B. 2√2F
- C. 2F
- D. F/2
Explanation: The following is the solution: When two forces of the same magnitude (F) act on a body at an angle of 90 degrees, the magnitude of their…
Correct answer: F√2- A. 0 cm2
- B. 6 cm2
- C. 10.39 cm2
- D. 12 cm2
Explanation: The following is the solution: If we take a circle centred at origin with radius 3, components of F1 will be, F1=< 3Cos30°, 3Sin30° >=<…
Correct answer: 0 cm2- A. AB sin θ
- B. AB cos θ
- C. AB sin θ nˆ
- D. AB cos θ nˆ
Explanation: C is the correct expression for the vector product A×B. It includes both the magnitude (ABsinθ) and the direction (n), where n is a unit…
Correct answer: AB sin θ nˆ347. A force of 10N is acting on a body making an angle of 45o with x-axis. Its x and y components are:
- A. 7.07 N and 7.07 N
- B. 7.07 N and 5 N
- C. 5 N and 7.07 N
- D. 8.66 N and 5 N
Explanation: The following is the solution: There is a force moving at 45° above the horizontal. Calculate a) the horizontal component of the force.
Correct answer: 7.07 N and 7.07 N- A. 3
- B. 3b
- C. iˆ -2 jˆ +2 kˆ
- D. B/3
Explanation: The following is the solution: If B=i−2j+2k, then the unit vector along B (u B ) is obtained by dividing B by its magnitude (∣B∣).
Correct answer: B/3- A. Magnitude of a vector
- B. Dimension of a vector
- C. Direction of a vector
- D. Position of a vector
Explanation: C is the correct option. A unit vector is a vector with a magnitude of 1 that points in a specific direction.
Correct answer: Direction of a vector- A. Vector product
- B. Multiplication of vectors
- C. Dot product
- D. Cross product
Explanation: The dot product, also known as the scalar product, is a mathematical operation between two vectors that results in a scalar quantity.
Correct answer: Dot product- A. Unit vector
- B. Positive vector
- C. Negative vector
- D. Position vector
Explanation: A negative vector is a vector that has the same magnitude as another vector but points in the opposite direction.
Correct answer: Negative vector- A. Same magnitude
- B. Double magnitude
- C. Zero magnitude
- D. Half magnitude
Explanation: C is the correct answer. When two equal and opposite vectors are added, the magnitudes subtract, resulting in a vector with zero…
Correct answer: Zero magnitude- A. AB sin θ
- B. AB cos θ
- C. 0
- D. AB
Explanation: If the cross product between two non-zero vectors is zero, then the angle between them would either be 0 degrees or 180 degrees because…
Correct answer: AB- A. AB
- B. Zero
- C. 1
- D. AB k
Explanation: The value of a.b = 0. Step-by-step explanation: Given: a = ai and b = bj To find: The value of a.b Step 1 Let a = ai and b = bj Here a =…
Correct answer: Zero- A. 45°
- B. 315°
- C. 135°
- D. 225°
Explanation: The following is the solution: The correct answer is b)315 degrees. The angle of the resultant vector with the positive x-axis is −45∘ or−…
Correct answer: 315°- A. Scalar
- B. Vector
- C. Null vector
- D. None of the above
Explanation: A scalar is a physical quantity that has only magnitude and is completely described by a single numerical value along with appropriate…
Correct answer: Scalar- A. Scalar
- B. Vector
- C. Null vector
- D. None of the above
Explanation: A vector is a physical quantity that has both magnitude and direction. Vectors require two pieces of information to be fully described: a…
Correct answer: Vector- A. A unit vector
- B. A null vector
- C. Inverse of a vector
- D. None of the above
Explanation: A null vector, also known as a zero vector, is a vector whose components are all zero. It has no specific direction and is represented as 0.
Correct answer: A null vector- A. Perpendicular / Hypotenuse
- B. Base / Hypotenuse
- C. Perpendicular / Base
- D. None of the above
Explanation: B is the correct option. In a right-angled triangle, the cosine of an angle θ is equal to the ratio of the length of the adjacent side…
Correct answer: Base / Hypotenuse- A. Force
- B. Energy
- C. Work
- D. Momentum
Explanation: Work (W) is the product of the force applied to an object and the distance over which the force is applied, in the direction of the force.
Correct answer: Work