1.

If O be the origin and the position vector of A be \[4\,\mathbf{i}+5\,\mathbf{j},\] then a unit vector parallel to \[\overrightarrow{OA}\] is

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. \[\frac{1}{\sqrt{41}}(4\,\mathbf{i}-5\,\mathbf{j})\]
Answer» D. \[\frac{1}{\sqrt{41}}(4\,\mathbf{i}-5\,\mathbf{j})\]


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