A `+6muC` point charge is moving at a constant velocity of `8xx10^6 ms^-1` in the +y direction, relative to a reference frame. At the instant when the point charge is at the origin of this reference frame, what is the magnetic field vector it produces at the following points?
(a) `x=0.500m, y=0, z=0,` and (b) `x=0, y=-0.500m, z=0`.

Explanation

To solve the problem of finding the magnetic field produced by a moving point charge at specific points in space, we can use the formula for the magnetic field \(\mathbf{B}\) created by a moving charge:

\[ \mathbf{B} = \frac{\mu_0}{4\pi} \frac{q \mathbf{v} \times \mathbf{r}}{r^3} \]

where:
- \(q\) is the charge,
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