Describe the magnetic field when two unlike magnet poles are close together

A Magnet is an object that produces a Magnetic Field; it can be formed of a permanent magnet or an electromagnet. The word magnet comes from the Greek "magnítis líthos", which means "Magnesian Stone". Magnesia is an area in Greece (Now Manisa, Turkey) where deposits of magnetite have been discovered since antiquity.

Magnets come in many shapes but no matter what their shapes are, each magnet has a North Pole and a South Pole.

A Magnetic Field is said to exist in a region if a (Magnetic) Force can be exerted on a Magnet. Magnetic Field Lines (Flux Lines) are imaginary lines representing the direction and strength of the Magnetic Field. They go from the North Pole to the South Pole outside the Magnet, and go from the South Pole to the North Pole inside the Magnet. The density of the Magnetic Field Lines is higher near the Poles, and the Magnetic Force is stronger there.

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle