Given: Find shortest distance between lines $\vec{r} = (\hat{i} + 2\hat{j} + \hat{k}) + \lambda(\hat{i} - \hat{j} + \hat{k})$ and $\vec{r} = (2\hat{i} - \hat{j} - \hat{k}) + \mu(2\hat{i} + \hat{j} + 2\hat{k})$. Step 1: Set up the governing mathematical relation / formula: From the given problem statement, we state the key relation: $$SD$$ [1.0 Mark] Step 2: Execute step-by-step evaluation and simplify: Evaluating and simplifying the expression: $$3\sqrt{2}/2.$$ [1.0 Mark] Conclusion: The solution is verified as 3\sqrt{2}/2..
--- 🎯 Official CBSE Marking Scheme: Setting up equation / formula: 1.0 Mark Evaluating correct final answer: 1.0 Mark
Correct Answer:
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