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Vector Algebra
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
Find the angle between vectors $\vec{a} = \hat{i} + \hat{j} - \hat{k}$ and $\vec{b} = \hat{i} - \hat{j} + \hat{k}$.
Step-by-Step Solution
Given: Find the angle between vectors $\vec{a} = \hat{i} + \hat{j} - \hat{k}$ and $\vec{b} = \hat{i} - \hat{j} + \hat{k}$. Step 1: Set up the governing mathematical relation / formula: From the given problem statement, we state the key relation: $$cos\theta$$ [1.0 Mark] Step 2: Execute step-by-step evaluation and simplify: Evaluating and simplifying the expression: $$cos^{-1}(-1/3).$$ [1.0 Mark] Conclusion: The solution is verified as cos^{-1}(-1/3)..
--- 🎯 Official CBSE Marking Scheme: Setting up equation / formula: 1.0 Mark Evaluating correct final answer: 1.0 Mark
Correct Answer:
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