Let ๐คฬ, ๐ฅฬ, and kเท be the unit vectors in the x, y and z directions, respectively. If the
vector ๐คฬ + ๐ฅฬ is rotated about positive kเท by 135o, one gets
Options:
(A) -๐คฬ
(B) -๐ฅฬ
(C) - 1
โ2
๐ฅฬ
(D) -โ2๐คฬ
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.12)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Structural Mechanics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.