How does an iron nail become a magnet when it is placed in a strong magnetic field

Explanation:

A current flowing in a wire creates a magnetic field around the wire.

This concept is used in an electromagnet.

Wrap a wire around the iron nail and turned into a coil and then connect it to a battery. This system is called an electromagnet.

By adding the more turns to the coil or increasing the current in the coil, you can make an electromagnet more stronger.

Iron is used in an electromagnet as it easily gain magnetic properties. When the current is flowing in the coil then it will be easily gain magnetic properties and when the current is stopped then it will loose magnetic properties.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west