Question Statement:
Given the vectors
ˆˆˆ9 5 2
ˆˆˆ11 4
ˆˆˆ7 14 3
A i j k
B i j k
C i j k
= - +
= + +
= - + -
which of the following statement(s) is/are TRUE?
Options:
-
(A) Vectors
A
,
B
and
C
are coplanar
-
(B) The scalar triple product of the vectors
A
,
B
and
C
is zero
-
(C) A
and
B
are perpendicular
-
(D) C
is parallel to
AB
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.43)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, MSQ).
**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)**.
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