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A wire carrying current $I$ is bent in the shape $A\,B\,C\,D\,E\,F\,A$ as shown, where rectangle $A\,B\,C\,D\,A$ and $A\,D\,E\,F\,A$ are perpendicular to each other. If the sides of the rectangles are of lengths $a$ and $b,$ then the magnitude and direction of magnetic moment of the loop $A\,B\,C\,D\,E\,F\,A\,$ is

• A
  $\sqrt{2}$ $abI$, along $\left(\frac{\hat{j}}{\sqrt{2}}+\frac{\hat{ k }}{\sqrt{2}}\right)$
• B
  $\sqrt{2}$ $abI,$ along $\left(\frac{\hat{j}}{\sqrt{5}}+\frac{2 \hat{k}}{\sqrt{5}}\right)$
• C
  $abI,$ along $\left(\frac{\hat{j}}{\sqrt{2}}+\frac{\hat{k}}{\sqrt{2}}\right)$
• D
  $abI,$ along $\left(\frac{\hat{j}}{\sqrt{5}}+\frac{2 \hat{ k }}{\sqrt{5}}\right)$