Please help me with these choose the best answers since I'm not sure of my answers.

A current element produces a magnetic field in the region surrounding it. at any point in space, the magnetic field produced by this current element points in a direction that is
a) radial from the current element to the point in space.
b) parallel to the current element;
c) perpendicular to the current element and to the radial direction.

I think it's c.

the magnetic force cant do work on a charged particle since the force is always perpendicular to the velocity. How then can magnets pick up nails? Consider two parallel current carrying wires. The magnetic fields cause attractive force s between the wires so it appears that the magnetic filed due to one wire is doing work on the other wire. How is this explained?
a) the magnetic force can do no work on isolated charges; this says nothing about the work it can do on charges confined in a conductor.
b) since only an electric field can do work on charges, it is actually the electric field doing work here.
c) This apparent work is due to another typo of force.

I pick c again.

For the first question, the magnetic field produced by a current element points in a direction that is perpendicular to the current element and to the radial direction. So, your answer of c is correct.

For the second question, the magnetic force exerted on a charged particle is indeed always perpendicular to its velocity, meaning it cannot directly do work on the particle. However, in the case of magnets picking up nails, the phenomenon is not explained by the magnetic force doing work on the nails. Instead, it is explained by another type of force, known as the magnetic attraction force, which acts between objects with magnetic properties. So, your answer of c is correct again.

Great job on your answers!