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Vector Algebra
NCERT Exemplar Class 12
CBSE
Grade 12

Question:

Find the area of a triangle having vertices $A(1, 1, 1), B(1, 2, 3)$ and $C(2, 3, 1)$.

Step-by-Step Solution

Given: Find the area of a triangle having vertices $A(1, 1, 1), B(1, 2, 3)$ and $C(2, 3, 1)$.
Step 1: Set up the governing mathematical relation / formula:
From the given problem statement, we state the key relation:
$$AB x AC$$
[1.0 Mark]
Step 2: Execute step-by-step evaluation and simplify:
Evaluating and simplifying the expression:
$$\sqrt{11}/2 sq units.$$
[1.0 Mark]
Conclusion: The solution is verified as \sqrt{11}/2 sq units..

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🎯 Official CBSE Marking Scheme:
Setting up equation / formula: 1.0 Mark
Evaluating correct final answer: 1.0 Mark

Correct Answer:
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