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 12 of 22
- A. Dividing the vector by its magnitude
- B. Dividing the magnitude by its vector
- C. Draw a cap on it
- D. None of these
Explanation: To find a unit vector with the same direction as a given vector, we divide the vector by its magnitude.
Correct answer: Dividing the vector by its magnitude- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: Explanation is given below in the attached image.
Correct answer: Option A- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The negative of a vector a is a vector that is obtained by multiplying it by -1. i.e., the negative of a is the vector -a.
Correct answer: Option A- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: When a vector is multiplied by a scalar quantity, then the magnitude of the vector changes in accordance with the magnitude of the scalar…
Correct answer: Option D- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: When a vector is multiplied by a scalar, the size of the vector is "scaled" up or down.
Correct answer: Option D- A. 90°
- B. 160°
- C. 270°
- D. 180°
Explanation: When a vector is multiplied by a scalar, the size of the vector is "scaled" up or down.
Correct answer: 180°227. A.B = B.A =_.
- A. AB Cos θ
- B. AB Sin θ
- C. AB
- D. |A||B| Tan θ
Explanation: Dot product of two vectors is commutative i.e. a.b = b.a = ab cos θ.
Correct answer: AB Cos θ- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: Vector addition follows the commutative property, which means the order of addition does not matter.
Correct answer: Option A- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: Subtracting the vector B from the vector A, which is written as A − B, is the same as A + (−B).
Correct answer: Option B- A. Addition of two vectors
- B. Subtraction of vectors
- C. Resolution of vectors
- D. None of these
Explanation: The process of splitting a vector into two or more vectors in such a way that their combined effect is same as that of the given vector…
Correct answer: Resolution of vectors- A. Horizontal and vertical components
- B. Vertical and horizontal components
- C. Positive and negative components
- D. None of these
Explanation: In a Cartesian coordinate system: The horizontal component of a vector is its projection onto the x-axis.
Correct answer: Horizontal and vertical components- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: If Fx and Fy are the horizontal and vertical components of vector respectively, then vector F can be expressed as: F = Fx + Fy This…
Correct answer: Option B- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: If Bx and By are the horizontal and vertical components of vector B respectively, then vector B can be expressed as: B = Bxi^ + Byj^ Here…
Correct answer: Option A- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The horizontal component of a vector F is given by Fx = |F|cosθ , where |F| is the magnitude of the vector F and θ is the angle between…
Correct answer: Option B- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The vertical component of a vector F is denoted as Fy. It represents the projection of the vector onto the y-axis.
Correct answer: Option A- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The position vector, represented as r, can be expressed as r = ai + bj + ck, where i, j, and k are unit vectors along the x-axis, y-axis…
Correct answer: Option B- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: Explanation is given below in the attached image.
Correct answer: Option A- A. An angle of (180° -θ ) with y-axis
- B. An angle of (90°- θ) with x-axis
- C. An angle of (360°- θ) with x-axis
- D. None of these
Explanation: If the x-component of the resultant vector is positive, and its y-component is negative, this is true for a vector located in the fourth…
Correct answer: An angle of (360°- θ) with x-axis- A. Vector quantity
- B. Scalar quantity
- C. Negative quantity
- D. Positive quantity
Explanation: A scalar is a physical quantity that is completely defined by its magnitude.
Correct answer: Scalar quantity- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: In terms of magnitude and the angle θ between the vectors: L.M = L.M cosθ This represents the projection of one vector onto the other…
Correct answer: Option B