What is the magnitude of the magnetic field vec B at point a in the figure? 3

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The fields are clockwise in the direction of positive current flow. With currents being equal and opposite, the total field along the x axis points along +x at all 3 points.

Field from each wire B0 = mu0*I/(2pi*d)

At point b:

d = 0.01 ==> B0 = 0.0002 T

Fields are both along x axis ==> total B = 2B0 = 0.0004 T

At points a and c:

d = sqrt2*0.01 ==> B0 = 0.0002/sqrt(2) T

Fields are 45 deg to x axis ==> total B = sqrt(2)*B0 = 0.0002 T