I have seen this but couldn't understand so I wrote my own question.

We all have learnt in school that electric field lines never intersect. Same is the case for magnetic field lines. But I have a question:

1.What will be the resultant direction of electric field lines when a charge is placed near an infinite charged metallic sheet?

I tried to figure it out but could not. I think the field lines from the plate and those from the charge don't intersect but arrange themselves in some other way.

2. How will the resultant field lines be when a charge with uniform velocity v is introduced into a region of uniform magnetic field and the charge moves parallel to the direction of magnetic field. Won't the circular field lines produced by the charge intersect the magnetic field lines in that region?

3.What will happen when when the charge moves at an angle to the magnetic field in that region with velocity v?

I would be grateful if you could use illustrations rather than difficult mathematical expressions as I'm not accustomed to that.

P.S.- Though it seems like a homework question isn't one. Please don't down vote it on this ground.