GATE AE 2018 • Q1 NAT • 1 Mark

General Aptitude

Verbal & Numerical Aptitude

Subtopic: Analytical Reasoning

Question Statement:

Let a⃗, b⃗⃗ be two distinct vectors that are not parallel. The vector c⃗ = a⃗ × b⃗⃗ is (A) zero. (B) orthogonal to a⃗ alone. (C) orthogonal to a⃗ + b⃗⃗. (D) orthogonal to b⃗⃗ alone.

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2018 Q.1)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Verbal & Numerical Aptitude** under *General Aptitude* (1 Mark, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Verbal & Numerical Aptitude equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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