Question Statement:
Values of a, b and c, which render the matrix
11
32
1 0
3
11
32
a
Qb
c
orthonormal are, respectively
Options:
-
(A) 11, , 0
22
-
(B) 12 1, - ,
66 6
-
(C) 11 1, ,
33 3
-
(D) 12 1, , -
66 6
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2013 Q.28)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Inlets, Combustors & Nozzles** under *Propulsion* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- **Theoretical Deduction**: Direct application of fundamental principles confirms option **(D)** is the unique correct statement.
- **Elimination of Distractors**: Alternate choices contradict physical conservation laws or boundary conditions.
**3. Official Answer Verification**:
Official Answer: **D**.
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