A) \[\frac{\mathbf{i}+\mathbf{j}}{\sqrt{2}}\]
B) \[\frac{1}{5}(3\mathbf{i}+4\mathbf{j})\]
C) \[\frac{1}{5}\,(3\mathbf{i}-4\mathbf{j})\]
D) None of these
Correct Answer: B
Solution :
\[{{x}^{2}}+{{y}^{2}}=1\] Let vector be \[x\mathbf{i}+y\mathbf{j},\] then \[4x-3y=0\] \[\Rightarrow 4x=3y\Rightarrow x=\frac{3}{5},\,\,y=\frac{4}{5},\] Hence the required vector is \[\frac{1}{5}(3\mathbf{i}+4\mathbf{j}).\]
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