Vector Algebra
Oswaal
CBSE
Grade 12
Question:
Unit vector in direction of $\vec{a} = \hat{i} + \hat{j} + 2\hat{k}$ is:
(a) $\frac{\hat{i} + \hat{j} + 2\hat{k}}{\sqrt{6}}$
(b) $\frac{\hat{i} + \hat{j} + 2\hat{k}}{6}$
(c) $\hat{i} + \hat{j} + 2\hat{k}$
(d) $\frac{\hat{i} + \hat{j} + 2\hat{k}}{\sqrt{4}}$
Step-by-Step Solution
Key Concept: |a| = \sqrt{1+1+4} = \sqrt{6}.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $\frac{\hat{i} + \hat{j} + 2\hat{k}}{\sqrt{6}}$
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