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 17 of 22
- A. 7N
- B. 15N
- C. 5N
- D. 10N
Explanation: To find the x-component of a force vector 'F' given its magnitude and the angle it makes with the x-axis, we can use the formula: F_x = F…
Correct answer: 15N- A. 90°
- B. 180°
- C. 120°
- D. 60°
Explanation: When a certain vector is multiplied by -1, the direction changes by 180°.
Correct answer: 180°- A. 1
- B. 2
- C. 3
- D. 4
Explanation: When it comes to the minimum number of unequal forces whose vector sum can be zero, let's take a look at the options: (a) 1: If we have…
Correct answer: 3- A. 0.866N
- B. 0.886N
- C. 89.2N
- D. 8.66N
Explanation: When a force of 10N makes an angle of 30° with the x-axis, we can find its x-component using trigonometry.
Correct answer: 8.66N- A. F
- B. 2F
- C. 0
- D. 3F
Explanation: When two equal forces F and F make an angle of 180 degrees with each other, the magnitude of their resultant force is indeed 0.
Correct answer: 0- A. 2A
- B. A2
- C. A/2
- D. None of the above
Explanation: The scalar or dot product of vector A with itself, denoted as A · A, is equal to A^2.
Correct answer: A2- A. 0 cm2
- B. 18 cm2
- C. 6.0 cm2
- D. 21 cm2
Explanation: scalar product = dot product=A•B cos thetaθ = 90-30= 60cos 60=1/2so ABCos θ =3×4×1/2=6cm^2so ans is c )6cm^2
Correct answer: 6.0 cm2- A. Parallel to each other
- B. Anti-parallel to each other
- C. Perpendicular to each other
- D. None of the above
Explanation: If the dot product of two non-zero vectors vanishes, it means that the vectors are perpendicular to each other.
Correct answer: Perpendicular to each other- A. 30°
- B. 45°
- C. 60°
- D. 90°
Explanation: When the dot product of two non-zero vectors is zero (a · b = 0), it means that the angle between them is 90 degrees.
Correct answer: 90°- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: If two non-zero vectors a and b are parallel to each other, it means that they have the same direction.
Correct answer: Option B331. For a vector V:
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: For a vector V, when we calculate V · V (the dot product of V with itself), it is equal to V^2 (V squared).
Correct answer: Option D- A. They are parallel vectors
- B. They are anti-parallel vectors
- C. They are perpendicular vectors
- D. They are parallel with some magnitude
Explanation: (a) They are parallel vectors: When two vectors are parallel, the dot product (scalar product) of the vectors will be positive or zero.
Correct answer: They are anti-parallel vectors- A. AB sin θ nˆ
- B. AB cos θ
- C. AB
- D. 0
Explanation: When two vectors are parallel, the angle between them is 0°. In this cases, the sine of the angle is 0.
Correct answer: 0- A. 0
- B. 1
- C. -1
- D. 2i
Explanation: The magnitude of unit vector is always 1.
Correct answer: 1- A. AB sin θ
- B. B cos θ
- C. AB sin6 θ
- D. AB
Explanation: If the dot product of two non-zero vectors A and B is zero, their cross product will indeed be of magnitude AB.
Correct answer: AB- A. 50N
- B. 20N
- C. 10N
- D. 80N
Explanation: When a vector makes an angle with the x-axis, we can find its y-component by using trigonometry.
Correct answer: 50N- A. ab cosec θ°
- B. 0
- C. 2ab
- D. abcos θ°
Explanation: The magnitude of the cross product of two parallel vectors a and b is 0.
Correct answer: 0- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The following is the solution: When two vectors of magnitudes A1 and A2 are inclined at an angle θ, the magnitude of their resultant can…
Correct answer: Option A- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The following is the solution: When two vectors of magnitudes A₁ and A₂ act at right angles to each other, the magnitude of their…
Correct answer: Option A- A. Associative law
- B. Commutative law
- C. Distributive law
- D. All of the above
Explanation: D is the correct option. The dot product satisfies the commutative, distributive law and the associative law.
Correct answer: All of the above