Find a vector of magnitude $9$ units in direction of $\vec{a} = 4\hat{i} - \hat{j} + 8\hat{k}$.
Step-by-Step Solution
Given: Find a vector of magnitude $9$ units in direction of $\vec{a} = 4\hat{i} - \hat{j} + 8\hat{k}$.
Step 1: Set up the governing mathematical relation / formula:
From the given problem statement, we state the key relation:
$$|a|$$
[1.0 Mark]
Step 2: Execute step-by-step evaluation and simplify:
Evaluating and simplifying the expression:
$$4\hat{i} - \hat{j} + 8\hat{k}.$$
[1.0 Mark]
Conclusion: The solution is verified as 4\hat{i} - \hat{j} + 8\hat{k}..
---
🎯 Official CBSE Marking Scheme:
Setting up equation / formula: 1.0 Mark
Evaluating correct final answer: 1.0 Mark
Correct Answer: