A) \[\frac{4}{\sqrt{41}}\mathbf{i}\]
B) \[\frac{5}{\sqrt{41}}\mathbf{i}\]
C) \[\frac{1}{\sqrt{41}}(4\,\mathbf{i}+5\,\mathbf{j})\]
D) \[\frac{1}{\sqrt{41}}(4\,\mathbf{i}-5\,\mathbf{j})\]
Correct Answer: C
Solution :
Unit vector prarallel to \[\overrightarrow{OA}\] \[=\frac{4\mathbf{i}+5\mathbf{j}}{\sqrt{16+25}}=\frac{1}{\sqrt{41}}(4\mathbf{i}+5\mathbf{j}).\]
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