A wire carrying current I is bent in the shape ABCDEFA as shown, where rectangle ABCDA and ADEFA 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 ABCDEFA is:

A

$$\sqrt{2}abI$$ along $$\left(\frac{\hat{j}}{\sqrt{2}} + \frac{\hat{k}}{\sqrt{2}}\right)$$

B

$$abI$$ along $$\left(\frac{\hat{j}}{\sqrt{2}} + \frac{\hat{k}}{\sqrt{2}}\right)$$

C

$$\sqrt{2}abI$$ along $$\left(\frac{\hat{j}}{\sqrt{5}} + \frac{2\hat{k}}{\sqrt{5}}\right)$$

D

$$abI$$ along $$\left(\frac{\hat{j}}{\sqrt{5}} + \frac{\hat{k}}{\sqrt{5}}\right)$$