Free Vector Product MCQs with Answers
29 Vector Product MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
The vector product, or cross product, gives a vector perpendicular to two multiplying vectors, with magnitude AB sin θ and direction set by the right-hand rule. It covers properties such as anti-commutation, area from cross products, torque and angular momentum. Unlike the dot product, its result is a vector.
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- A. zero
- B. maximum and equal to AB
- C. equal to AB cos theta
- D. a scalar
Explanation: The cross product has magnitude AB sin theta, and sin 0 is zero, so parallel vectors give a null vector.
Correct answer: zero- A. the direction of A
- B. the direction of B
- C. the bisector of the angle between A and B
- D. the right hand rule, perpendicular to the plane containing A and B
Explanation: Curling the fingers of the right hand from A to B points the thumb along A cross B, which is perpendicular to both vectors.
Correct answer: the right hand rule, perpendicular to the plane containing A and B- A. force divided by distance
- B. the scalar product of force and distance
- C. the product of force and the perpendicular distance from the axis to the line of action
- D. force multiplied by time
Explanation: Only the perpendicular distance, the moment arm, counts, which is why pushing a door near its hinge is so ineffective.
Correct answer: the product of force and the perpendicular distance from the axis to the line of action- A. 30°
- B. 45°
- C. 60°
- D. 180°
Explanation: For vectors of magnitudes A and B, the cross-product magnitude is AB sin θ and the dot-product magnitude is AB cos θ.
Correct answer: 45°- A. West
- B. North
- C. Down
- D. Up
Explanation: Take east as +i, north as +j, and up as +k; south is therefore -j. East x south = i x (-j) = -(i x j) = -k, which points down.
Correct answer: Down- A. Head to tail rule
- B. Right-hand rule
- C. Left-hand rule
- D. Triangular rule
Explanation: The direction of a vector product is perpendicular to both original vectors and is found by curling the fingers of the right hand from the…
Correct answer: Right-hand rule- A. Zero
- B. One
- C. i^
- D. k^
Explanation: The unit vectors follow the right-hand rule: i × j = k. The vectors are perpendicular, so the cross product has magnitude 1 × 1 × sin90° =…
Correct answer: k^- A. Not equal to the product of magnitudes of
- B. In the plane parallel to
- C. Perpendicular to the plane containing
- D. Less in magnitude than the product of magnitudes of
Explanation: The vector product, or cross product, of two vectors A and B results in a vector perpendicular to the plane containing A and B.
Correct answer: Perpendicular to the plane containing- A. 2i + 3j + 4k
- B. i+5j + 2k
- C. -142+7k
- D. 2i+5j+4k
Explanation: IT is incorrect as it shows the vector A. It represents the vector b {i+5j+2k}
Correct answer: i+5j + 2k- A. Unity
- B. Zero
- C. 90°
- D. Depends on the vector
Explanation: The vector product, or cross product, of a vector with itself is always zero.
Correct answer: Zero- A. Parallel
- B. Perpendicular
- C. Y-axis
- D. X- axis
Explanation: The vector product of two vectors is a vector perpendicular to both of them.
Correct answer: Perpendicular- A. They are parallel vectors
- B. They are anti-parallel vectors
- C. They are perpendicular vectors
- D. They are rotated through 270°
Explanation: The cross-product of two vectors, A and B, is defined as a vector that is perpendicular to both A and B, with a magnitude given by…
Correct answer: They are rotated through 270°- A. A
- B. 1
- C. 2A
- D. Zero
Explanation: The cross product of vector A with itself, denoted as A x A, is equal to zero.
Correct answer: Zero- A. Linear momentum
- B. Angular momentum
- C. Force
- D. Electric flux
Explanation: Angular momentum is an example of a vector product of two vectors. The vector product, also known as cross product, is an operation…
Correct answer: Angular momentum- A. Linear momentum
- B. Angular momentum
- C. Force
- D. Electric flux
Explanation: Angular momentum is an example of a vector product of two vectors. The angular momentum of an object is given by the cross product of its…
Correct answer: Angular momentum- A. Linear momentum
- B. Angular momentum
- C. Force
- D. Electric flux
Explanation: Angular momentum is an example of the vector product of position and linear momentum
Correct answer: Angular momentum- A. (8i-6j+3k)
- B. (3i-6j+8k)
- C. (3i-6j+6k)
- D. (6i-8j+3k)
Explanation: To find the linear velocity, you need to take the cross product of the position vector (3i+4j) and the angular velocity (j+2k).
Correct answer: (8i-6j+3k)- A. Along the force F
- B. Along the moment arm r
- C. Parallel to the plane containing r and F
- D. Perpendicular to the plane containing r and F
Explanation: * Torque (τ) is the vector product (or cross product) of the moment arm (r) and the force (F), represented as τ = r × F.* The direction of…
Correct answer: Perpendicular to the plane containing r and F- A. A . B = B . A
- B. A x B = B x A
- C. A . B = -B . A
- D. A x B = -B x A
Explanation: The correct answer is A x B = -B x A. This reflects the non-commutative property of the vector product, meaning that reversing the order…
Correct answer: A x B = -B x A- A. Torque.
- B. Energy.
- C. Velocity.
- D. Workdone.
Explanation: The cross product of two vectors, such as force and moment arm, results in a vector known as torque.
Correct answer: Torque.Vector Product MCQs: common questions
Are these Vector Product MCQs free?
Yes. All Vector Product MCQs from Physics are free on TestUstad, with unlimited attempts and no account needed. Nothing on this page is a sample or a trial.
How many Vector Product MCQs are on this page?
There are 29 Vector Product MCQs in the Physics bank, shown 20 to a page with the correct answer and an explanation on each.
Does every Vector Product MCQ have an explanation?
Yes. Each Vector Product question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.
Can I take a timed Vector Product test?
Yes. The practice button on this page starts a free Vector Product test drawn from the Physics bank. It marks each answer instantly, gives you a score at the end, and can be retaken as many times as you like.