Question Statement:
Consider a vector field given by xî + yĵ + zk̂. This vector field is
Options:
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(A) divergence-free and curl-free.
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(B) curl-free but not divergence-free.
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(C) divergence-free but not curl-free.
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(D) neither divergence-free nor curl-free.
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2018 Q.3)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Verbal & Numerical Aptitude** under *General Aptitude* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Verbal & Numerical Aptitude.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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