Free Scalar Product MCQs with Answers
29 Scalar 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 scalar product of two vectors is A dot B equals AB cos theta, producing a scalar determined by their magnitudes and included angle. Applications include work done and projection of one vector on another, with perpendicular vectors giving zero and the scalar product distinguished from the vector product.
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29 questions · page 2 of 2
- A. -1
- B. 0
- C. 1
- D. 2
Explanation: The scalar product (also known as the dot product) of two vectors is calculated as the product of the magnitudes of the two vectors and…
Correct answer: 0- A. Parallel vectors
- B. In any direction.
- C. Antiparallel vectors
- D. Perpendicular to each other.
Explanation: The scalar product or dot product of two vectors is given by a · b = |a||b|cosθ, where θ is the angle between the vectors.
Correct answer: Parallel vectors23. If the dot product of two vectors (X and Y) is zero, then which of the following conditions is TRUE?
- A. Both vectors are opposite in direction
- B. Both vectors are parallel to each other
- C. The vectors are orthogonal to each other
- D. Either of the two vectors is a null vector
Explanation: The correct answer is that the vectors are orthogonal to each other. The dot product of two vectors is zero when the angle between them is…
Correct answer: The vectors are orthogonal to each other- A. 1
- B. 0
- C. -1
- D. √2
Explanation: The dot product of two vectors is calculated as |A||B|cos(θ), where θ is the angle between the vectors.
Correct answer: 0- A. i+j+k
- B. 4i+3j-2k
- C. i-3j+k
- D. i+2j-2k
Explanation: To determine if a vector is perpendicular to another vector, we can use the dot product.
Correct answer: i+2j-2k- A. Zero
- B. 90°
- C. 1
- D. -1
Explanation: Explanation:Since i and k are mutually perpendicular, thus angle is 90°, cos90° = 0, therefore scalar product is zero.
Correct answer: Zero- A. 0°
- B. 60°
- C. 90°
- D. 180°
Explanation: 90°: If the angle between A→ and B→ is 90°, the dot product A→ · B→ would be |A→| |B→| cos(90°) = 0.
Correct answer: 90°- A. Zero
- B. 30
- C. 60
- D. 90
Explanation: In this case dot product is equal to scalar product of two vector A.B= A x B x cos θ In this case on right hand side of equation, ½ will…
Correct answer: 60- A. Cosθ
- B. A.B/B
- C. A.B/A
- D. Sinθ
Explanation: When we talk about the scalar projection of vector B onto vector A, we're looking at the component of vector B that lies in the same…
Correct answer: A.B/A