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 14 of 22
- A. Zero
- B. 5 N
- C. 25 N
- D. 150 N
Explanation: When two forces are acting in the same direction, you can find their resultant by simply adding their magnitudes.For forces of 10N and 15N…
Correct answer: 25 N- A. Head-to-tail rule method
- B. Rectangular components method
- C. Right hand rule method
- D. Hit and trial method
Explanation: The geometric method of vector addition involves drawing the single vectors head to tail, meaning that the tip of one arrow intersects the…
Correct answer: Head-to-tail rule method- A. 0
- B. 10 N
- C. 20 N
- D. 60N
Explanation: Y-component = Fsinθ = 20 sin(30) =20 (1/2) =10N
Correct answer: 10 N- A. 120°
- B. 30°
- C. 60°
- D. 0°
Explanation: Explanation is given below in the attached image.
Correct answer: 0°265. Two equal forces F and F make an angle of 180° with each other, the magnitude of their resultant is
- A. Zero
- B. F
- C. 2F
- D. 3F
Explanation: Explanation is given below in the attached image.
Correct answer: Zero266. If two forces of 10N and 20N are acting on a body in the same direction, then their resultant is
- A. 10N
- B. 20N
- C. 30N
- D. 200N
Explanation: When two forces are acting in the same direction, you can find their resultant by simply adding their magnitudes.
Correct answer: 30N- A. F
- B. F2
- C. F/2
- D. 2F
Explanation: The scalar product (also known as the dot product) of a vector F with itself is equal to the square of the magnitude of the vector.
Correct answer: F2- A. AB cos θ
- B. AB sin θ
- C. AB
- D. AB tan θ
Explanation: Explanation is given below in the attached image.
Correct answer: AB cos θ- A. They are parallel
- B. They are anti-parallel
- C. They are equal vectors
- D. They are perpendicular to each other
Explanation: The scalar product of two vectors which are at right-angles is always 0. We say that such vectors are perpendicular or orthogonal.
Correct answer: They are perpendicular to each other- A. Zero
- B. A
- C. -A
- D. A2
Explanation: Explanation is given below in the attached image.
Correct answer: Zero- A. In the same direction
- B. Opposite to each other
- C. Perpendicular to each other
- D. Zero
Explanation: Explanation is given below in the attached image.
Correct answer: Perpendicular to each other- A. Zero
- B. AB
- C. A+B
- D. A-B
Explanation: f two non-zero vectors A and B are parallel to each other, the dot product A.B equal to the product of their magnitudes: A.B = |A| .
Correct answer: AB- A. They are parallel vectors
- B. They are anti-parallel vectors
- C. They are perpendicular vectors
- D. None of the above is correct
Explanation: The dot product of two vectors is negative when the angle θ between them is greater than 90 degrees (obtuse angle).
Correct answer: They are anti-parallel vectors- A. They are parallel to each other
- B. They are perpendicular to each other
- C. They are equal vectors
- D. They are inclined at angle of 60°
Explanation: The vector product (cross product) of two vectors is zero when the vectors are parallel or antiparallel to each other.
Correct answer: They are parallel to each other- A. zx-plane
- B. yz-plane
- C. xy-plane
- D. None of the above
Explanation: If cross product a x b points along the positive z-axis, then the vectors a and b must lie in the x-plane.
Correct answer: xy-plane- A. AB sin θ
- B. Ab
- C. AB cos θ
- D. Zero
Explanation: If area of parallelogram formed by two vectors A and B is given by the magnitude of their cross product: Area of parallelogram = |A x B|…
Correct answer: AB sin θ- A. F
- B. 2F
- C. 1
- D. Zero
Explanation: The cross product of vector F with itself (i.e. F × F ) is equal to zero.
Correct answer: Zero- A. AB sin θ n
- B. AB cos θ
- C. Zero
- D. AB
Explanation: The cross product ( A × B ) of two non-zero parallel vectors is equal to zero.
Correct answer: Zero- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The relationship A x B = - B x A is a property of the cross product known as the antisymmetry or skew-symmetry property.
Correct answer: Option A- 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