Let we have two vectors X and Y , and if X .Y = 0, then:
Correct answer: D. b and c both are correct
- A. Both are null vectors
- B. X or Y is a null vector
- C. The vectors are mutually perpendicular
- D. b and c both are correct
Explanation
If either one of the vectors is the zero vector (a vector with all components equal to zero), then the dot product of the two vectors will be zero. This is because the zero vector has zero magnitude, and the dot product of any vector with the zero vector is always zero. The product of two vectors being zero, specifically the dot product being zero, is a characteristic of vectors being orthogonal or perpendicular. When two vectors X and Y are mutually perpendicular, it means that the angle between the two vectors is 90 degree. Dot product of two vectors is given by:X.Y= X.Y cosθIf θ is 90, then cosθ becomes zero, and as a result dot product becomes zero.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Vectors and Equilibrium
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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.