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Three Dimensional Geometry
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
Find vector equation of line passing through point $(2, -1, 4)$ and in direction of $\hat{i} + 2\hat{j} - \hat{k}$.
Step-by-Step Solution
Given: Find vector equation of line passing through point $(2, -1, 4)$ and in direction of $\hat{i} + 2\hat{j} - \hat{k}$. Step 1: Set up the governing mathematical relation / formula: From the given problem statement, we state the key relation: $$r$$ [1.0 Mark] Step 2: Execute step-by-step evaluation and simplify: Evaluating and simplifying the expression: $$(2i - j + 4k) + \lambda(i + 2j - k).$$ [1.0 Mark] Conclusion: The solution is verified as (2i - j + 4k) + \lambda(i + 2j - k)..
--- 🎯 Official CBSE Marking Scheme: Setting up equation / formula: 1.0 Mark Evaluating correct final answer: 1.0 Mark
Correct Answer:
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