A positively charged particle located at the origin of an \(x y z\) coordinate system spins about the \(z\) axis, and the spin is counterclockwise when viewed looking down from the positive \(z\) axis toward the origin. Is the line integral of the magnetic field positive, negative, or zero for an Ampèrian path going \((a)\) clockwise around the origin in the \(x y\) plane when viewed looking down from the positive \(z\) axis, \((b)\) clockwise around the origin in the \(y z\) plane when viewed looking from the positive \(x\) axis, and \((c)\) clockwise around the origin in the \(x z\) plane when viewed looking from the positive \(y\) axis?