A is parallel to B then A.B =
Correct answer: B. AB
- A. zero
- B. AB
- C. -AB
- D. A/b
- E. none
Explanation
The dot product of two vectors A and B is given by the formula A·B = |A| |B| cos(θ), where θ is the angle between the vectors. For parallel vectors, θ = 0°. The cosine of 0° is 1, so the dot product simplifies to |A| |B|, or AB.Option A is incorrect because a dot product of zero indicates perpendicular vectors, not parallel ones. Option C is incorrect as it suggests a negative product which would apply if the vectors were anti-parallel. Option D is not a valid mathematical expression for a dot product. Option E is incorrect as the dot product for parallel vectors is not 'none'.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Scalar Product
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.
Practise Vectors and Equilibrium
431 free Vectors and Equilibrium MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Scalar Product questions
Scalar product is obtained when:
Two vectors S and R are such that S= 4, R= 6 and S.R= 13.5. Find the angle between S and R.
Find the projection of Y = 4i - 6j + 12k onto the direction of vector Z = 2i + 4j + 4k.
If A.B=0, then between them is:
The scalar product of two vectors A and B at an angle θ with each other is:
If A.B = 0, we conclude that: