Acircular loop of wire with area a lies in the xy-plane. as viewed along the z-axis looking in the −z direction toward the origin, a current i is circulating clockwise around the loop. the torque produced by an external magnetic field b is given by τ =d(3i^−4j^), where d is a positive constant, and for this orientation of the loop the magnetic potential energy u=−μ .b is negative. the magnitude of the magnetic field is b0=15d/ia.

determine the vector magnetic moment of the current loop. express your answer in terms of the variables i^a, a^a, i^i, j^j and k^k.

(a)-determine the component bx of b

(b)-determine the component by of b

(c)-determine the component bz of b