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 4 of 4
- A. A null vector
- B. Equal to magnitude of vector B
- C. Twice the magnitude of vector B
- D. Smaller than magnitude of vector B
Explanation: Option C is correct. The difference between vector B and its negative vector -B is equivalent to B - (-B), which simplifies to B + B = 2B.
Correct answer: Twice the magnitude of vector B- A. 1.5N
- B. 2.5N
- C. 4.5N
- D. 6.5N
Explanation: Since there are 2 forces, the minimum resultant force is when they are pointing in opposite directions i.e.
Correct answer: 1.5N- A. Concurrent
- B. Non-concurrent
- C. Parallel
- D. Anti-parallel
Explanation: "A group of forces acting on an object is called a coplanar system of forces if the line of action of all the forces lies in the same…
Correct answer: Concurrent- A. 14 N
- B. 2N
- C. 10N
- D. 48 N
Explanation: When two forces are acting at right angles to each other, the resultant can be calculated by using the Pythagorean Theorem.One of the…
Correct answer: 10N- A. n^= A→/|A|
- B. n^= (A.|A|)-
- C. n^= n^A→
- D. n^= A/A-
Explanation: n^= A→/|A|: This equation represents the unit vector n^ in the direction of the vector A→.
Correct answer: n^= A→/|A|- A. 0.45N
- B. 5N,9N
- C. 20N,25N
- D. 0N,45N
Explanation: maximum resultant: 45 = a + b minimum resultant: 5 = a - b Solve for a in the first equation then substitute it into the second equation…
Correct answer: 20N,25N67. How are the two vectors of the same magnitude oriented to get a resultant of the same magnitude?
- A. 90°
- B. 60°
- C. 45°
- D. 120°
Explanation: 120°: If two vectors of the same magnitude are oriented at 120 degrees to each other, the resultant vector will have a magnitude that is…
Correct answer: 120°- A. One
- B. Two
- C. Three
- D. Four
Explanation: The minimum number of unequal forces whose vector sum can be zero is three. This is known as the triangle law of vector addition.
Correct answer: Three- A. 0°
- B. 90°
- C. 120°
- D. 180°
Explanation: Both vectors have the same magnitude, F, and the resultant is F+F = 2F.
Correct answer: 0°- A. zero
- B. 3
- C. √3
- D. 1.73
Explanation: The three vectors act as shown in the diagram above. According to the head-to-tail rule, the resultant is obtained by joining the head of…
Correct answer: zero- A. Electric field intensity
- B. Gravitational field intensity
- C. Magnetic induction
- D. Electromotive force
Explanation: The correct answer is electromotive force (EMF), which is a scalar quantity.
Correct answer: Electromotive force- A. Couple
- B. Couple arm
- C. Collinear forces
- D. Torque
Explanation: The correct answer is a Couple. A couple consists of two equal, anti-parallel, and nonconcurrent forces that act to produce a rotational…
Correct answer: Couple- A. Two
- B. Three
- C. Four
- D. Five
Explanation: Consider a particle having just one line of force acting on it. This force results in acceleration of the particle disturbing its…
Correct answer: Two- A. Zero
- B. One
- C. Negative One
- D. Two
Explanation: The correct answer is 'One'. When two vectors each have unit magnitude, the dot product is calculated as the cosine of the angle between…
Correct answer: One75. A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be:
- A. Zero
- B. 3
- C. 12
- D. 45
Explanation: The magnitude of the sum of two vectors can be determined using the triangle law of vector addition.
Correct answer: 45- A. π/4
- B. π/2c
- C. 2π
- D. None of them
Explanation: Explaination for this question will be added shortly.
Correct answer: π/4