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 13 of 22
- A. Negative
- B. Null
- C. Positive
- D. None of these
Explanation: In the second quadrant, sinθ is positive. This is because in the second quadrant, the y-coordinate is positive, and sinθ is defined as the…
Correct answer: Positive- A. Fourth
- B. Second
- C. Third
- D. None of these
Explanation: In the fourth quadrant, the x-coordinate is positive, but the y-coordinate is negative.
Correct answer: Fourth- A. Second and third
- B. First and second
- C. Third and fourth
- D. None of these
Explanation: The cosine of an angle is negative in the second and third quadrants of the Cartesian coordinate system.
Correct answer: Second and third- A. Scalar product is commutative
- B. Scalar product is positive
- C. Scalar product is negative
- D. None of these
Explanation: he scalar product (dot product) of two vectors is commutative. This means that for any two vectors L and M, the scalar product is the same…
Correct answer: Scalar product is commutative- A. Both are null vectors
- B. X or Y is a null vector
- C. The vectors are mutually perpendicular
- D. b and c both are correct
Explanation: If either one of the vectors is the zero vector (a vector with all components equal to zero), then the dot product of the two vectors will…
Correct answer: b and c both are correct- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The distributive law for vectors involves both scalar multiplication and vector addition.
Correct answer: Option A247. If A × B = 0 then:
- A. Two vectors both are zero
- B. Either of the two vectors is a null or vectors A and B are parallel to each other
- C. They are perpendicular to each other
- D. None of these
Explanation: If A and B are parallel, the sine of the angle between them is zero, and consequently, the cross product is zero.
Correct answer: Either of the two vectors is a null or vectors A and B are parallel to each other- A. 4
- B. 1
- C. 0
- D. 100
Explanation: This is because the cross product between any vector and itself results in a zero vector.
Correct answer: 0249. Let we have three vectors A, B and C, then according to distributive law with respect to addition.
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: According to the distributive law with respect to addition for vectors, the sum of vectors A and B multiplied by a scalar C is equal to…
Correct answer: Option B- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: The cross product (k x j) of the unit vectors along the z-axis (k) and the y-axis (j) can be determined using the right-hand rule.
Correct answer: Option A- A. Both magnitude & direction
- B. Magnitude only
- C. Direction only
- D. None of these
Explanation: A vector is a physical quantity that is completely specified by both its magnitude and its direction.
Correct answer: Both magnitude & direction- A. Temperature
- B. Energy
- C. Power
- D. Momentum
Explanation: Momentum is the product of mass and velocity of a body. Mass is a scalar, and velocity is a vector.
Correct answer: Momentum- A. Time, temperature, velocity
- B. Force, volume, momentum
- C. Velocity, acceleration, mass
- D. Force, acceleration, velocity
Explanation: Force is a vector quantity. It has both magnitude and direction. The direction of the force is as important as its magnitude in describing…
Correct answer: Force, acceleration, velocity- A. A position vector
- B. A null vector
- C. A unit vector
- D. A negative vector
Explanation: A unit vector is a vector with a magnitude of 1. Unit vectors are often used to represent directions in space and are useful for…
Correct answer: A unit vector- A. A unit vector
- B. A position vector
- C. A negative vector
- D. A null vector
Explanation: A null vector, also known as the zero vector, is a vector whose magnitude is zero.
Correct answer: A null vector- A. A null vector
- B. A unit vector
- C. A position vector
- D. A resultant vector
Explanation: A vector that specifies only the direction without regard to its magnitude is called a unit vector.
Correct answer: A unit vector- A. A resultant vector
- B. A null vector
- C. A unit vector
- D. A position vector
Explanation: If we have a vector and we want to get a unit vector that points in the same direction as the given vector, we must divide the components…
Correct answer: A unit vector- A. 0°
- B. 60°
- C. 90°
- D. 120°
Explanation: The rectangular components of a vector have an angle of 90 degrees (perpendicular) between them in a Cartesian coordinate system.
Correct answer: 90°- A. 10 N
- B. 20 N
- C. 100 N
- D. 0 N
Explanation: If a force of 10 N is acting along the y-axis, its component along the x-axis is 0 N.
Correct answer: 0 N- A. 0°
- B. 60°
- C. 120°
- D. 180°
Explanation: Explanation is given below in the attached image.
Correct answer: 180°