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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29 questions · page 2 of 2

  • A. 1 > τ > 0
  • B. τ < 0
  • C. τ = 0
  • D. τ = 1

Explanation: The torque (τ) is calculated by the formula τ = r × F, where r is the moment arm and F is the force applied.

Correct answer: τ = 0
  • A. 0o
  • B. 90o
  • C. 180o
  • D. 270o

Explanation: The cross product of two vectors results in a vector that is perpendicular to the plane containing the two vectors.

Correct answer: 270o
  • A. Two scalar quantities
  • B. Two vector quantities.
  • C. One scalar and one numeric value.
  • D. One scalar and one vector quantity.

Explanation: The correct answer is option B:two vector quantities.The cross product is a binary operation on two vectors in three-dimensional space…

Correct answer: Two vector quantities.
  • A. Either a=0 or b=0
  • B. a/ /b
  • C. a+b
  • D. /a/=/b/

Explanation: It is property of dot and cross product of vector

Correct answer: Either a=0 or b=0
  • A. 60 degrees
  • B. 45 degrees
  • C. 0 degrees
  • D. 90 degrees

Explanation: The formula for angular momentum is; L = r × p × sin(θ) where L represents the angular momentum, r is the position vector, p is the linear…

Correct answer: 90 degrees
  • A. 0
  • B. 1
  • C. -1
  • D. 2

Explanation: The given expression i.(j×k) is an example of a scalar triple product, which represents the volume of the parallelepiped formed by the…

Correct answer: 1
  • A. Parallel to the plane of F and γ
  • B. Perpendicular to the plane of F and γ
  • C. Anti parallel to the plane of F and γ
  • D. Is the same as that of the plane of F and γ

Explanation: Perpendicular to the plane of F and γ: This option is correct as torque is always perpendicular to the plane defined by the force vector…

Correct answer: Perpendicular to the plane of F and γ
  • A. 4
  • B. Zero
  • C. 2
  • D. 1

Explanation: From the given diagram: i x j= k j x k= i k x i= j j x i = -k k x j= -i i x k= -j Now to solve the given expression, k x j= -i so j x -i =…

Correct answer: Zero
  • A. 0
  • B. 1
  • C. AB
  • D. -AB

Explanation: If the dot product of two nonzero vectors (A) and (B) is zero, it means that they are orthogonal (perpendicular) to each other.

Correct answer: AB