Free Addition of Vectors MCQs with Answers
76 Addition of Vectors MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Vector addition combines directed quantities using the head-to-tail, parallelogram and component methods. Work includes finding the resultant magnitude and direction for two or more vectors, resolving vectors into perpendicular components, and distinguishing vector addition from scalar addition, where direction has no role.
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76 questions · page 3 of 4
- A. 30 N
- B. 10 N
- C. 35 N
- D. 15 N
Explanation: The resultant force of two vectors can range from the absolute difference to the absolute sum of their magnitudes, depending on their…
Correct answer: 35 N- A. 20°
- B. 60°
- C. 120°
- D. 45°
Explanation: If we know the magnitude of two forces and the angle between them, we can find the magnitude of the resultant force by applying the…
Correct answer: 120°- A. 30°
- B. 45°
- C. 60°
- D. 120°
Explanation: It is given that two vectors are equal in magnitude i.e. if A and B are two vectors then ∣A∣=∣B∣.
Correct answer: 120°- A. 0
- B. 1
- C. -1
- D. 1/2
Explanation: The cross product of two parallel vectors is always zero because the sine of the angle between them is zero.
Correct answer: 0- A. √0.64
- B. √0.66
- C. 1
- D. 0.2
- E. √0.11
Explanation: The magnitude of the given vector is:|0.8i + 0.5j + ck| = √(0.8² + 0.5² + c²)For the given vector to be a unit vector, its magnitude must…
Correct answer: √0.11- A. 300
- B. 600
- C. 450
- D. 120
Explanation: We know that the magnitude of the resultant force (R) is equal to F, and the magnitude of each individual force (F1 and F2) is also equal…
Correct answer: 120- A. Force, kinetic energy
- B. Velocity,acceleration
- C. Acceleration, displacement
- D. mass and momentum
Explanation: This is the correct answer. Force is a vector quantity because it has both magnitude (size) and direction.
Correct answer: Force, kinetic energy- A. 6km/h
- B. 12km/h
- C. 10km/h
- D. 2km/h
Explanation: Here is the explanation of the correct option
Correct answer: 6km/h- A. 10√5N
- B. 5√5N
- C. 5N
- D. 10N
Explanation: Here is the explanation of the correct option
Correct answer: 10√5N- A. Division of vectors.
- B. Addition of vectors.
- C. Subtraction of vectors.
- D. Multiplication of vectors.
Explanation: The correct answer is addition of vectors. When the tail of the first vector coincides with the head of the second vector, they are…
Correct answer: Addition of vectors.- A. Be reversed.
- B. Be changed by 45o
- C. Be changed by 90o
- D. Remain the same.
Explanation: When a vector is multiplied by a negative number, its direction is reversed.
Correct answer: Be reversed.- A. First quadrant.
- B. Second quadrant.
- C. Third quadrant.
- D. Fourth quadrant.
Explanation: In the Cartesian coordinate system, the third quadrant is characterized by both x and y components being negative.
Correct answer: Third quadrant.- A. 1
- B. 0
- C. X
- D. -X
Explanation: The correct answer is Y = -X. A vector's direction is indicated by its sign.
Correct answer: -X- A. 2
- B. 3
- C. 4
- D. 5
Explanation: The head-to-tail rule for vector addition states that vectors can be added by placing them head to tail, and the resultant vector is drawn…
Correct answer: 3- A. τ = 0
- B. 0 < τ < 1
- C. τ = 1
- D. 1 < τ < 2
Explanation: The correct answer isτ = 0. For a bridge anchored on two concrete pillars, it is expected to be in static equilibrium, meaning the net…
Correct answer: τ = 0- A. Equal in magnitude but opposite in direction
- B. Unequal in magnitude
- C. Only rightward forces exist
- D. Only leftward forces exist
Explanation: The first condition of equilibrium, also known as translational equilibrium, states that the sum of all forces acting on an object must be…
Correct answer: Equal in magnitude but opposite in direction- A. Unit vector
- B. Null vector
- C. Equal vector
- D. Position vector
Explanation: The correct answer is a position vector. A position vector is used to describe the position of a point in a coordinate system relative to…
Correct answer: Position vector- A. First - The Vector sum of all the torques is zero
- B. Second - The Vector sum of all the forces is zero
- C. First - The Vector sum of all the momenta is zero
- D. Second - The Vector sum of all the torques is zero
Explanation: First Condition of Equilibrium:The vector sum of all forces acting on an object is zero.
Correct answer: Second - The Vector sum of all the torques is zero- A. 60 degrees
- B. 90 degrees
- C. 120 degrees
- D. 130 degrees
Explanation: R²= A² +B² + 2 AB cos βPutting R = A=B = f, we get β = 120°
Correct answer: 120 degrees- A. 2i − 4j / √6
- B. 4i − 2j / √10
- C. i − 2j / √5
- D. i − 2j / √7
Explanation: Explanation: Magnitude of 2i - 4j = √(2² + (-4)²) = √20 = 2√5For unit vector = (2i -4j) / 2√5 = i - 2j / √5
Correct answer: i − 2j / √5