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Co-ordinates of four corners of a square loop are \( A \equiv(0,0,0), B \equiv(0,0, a), C \equiv\left(\frac{a}{\sqrt{2}}, \frac{a}{\sqrt{2}}, a\right) \) and \( D \equiv \) \( \left(\frac{a}{\sqrt{2}}, \frac{a}{\sqrt{2}}, 0\right) \). A current \( I \) is flowing in the loop in \( A B C D A \) direction. The magnetic moment of the loop would be
(a) \( \left(\frac{a^{2}}{\sqrt{2}} \hat{j}+\frac{a^{2}}{\sqrt{2}} \hat{k}\right) I \)
(b) \( \left(\frac{a^{2}}{\sqrt{2}} \hat{j}-\frac{a^{2}}{\sqrt{2}} \hat{i}\right) I \)
(c) \( \left(\frac{a^{2}}{\sqrt{2}} \hat{j}+\frac{a^{2}}{\sqrt{2}} \hat{i}\right) I \)
(d) \( \left(\frac{a^{2}}{\sqrt{2}} \hat{i}-\frac{a^{2}}{\sqrt{2}} \hat{j}\right) I \)
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