I have two doubts regarding this concept
1- why do we do the cross product? and what does the resultant vector actually represent? and does the resultant vector actually mathematically be perpendicular to these two input vectors or did we just use the third dimension in order to represent the area of the parallelogram for our convenience?
2- what is the cross product of two force vectors called? and If there really is such a thing in this world then where do we use it? and Does the resultant vector point towards the perpendicular direction of these two force vectors?
The cross product or vector product is defined as it is because it is a useful concept in physics, and helps us write down physical laws and equations of motion in a concise way - especially laws involving angular momentum, moments of forces, torques and the interaction of magnetic fields and electric charges (as in the Lorentz force equation).
Mathematically, the cross product of two vectors is a less "natural" concept than the dot or scalar product, and it does not generalise to higher dimensions as simply as the scalar product does.
I cannot think of a physical example where the cross product of two force vectors is physically meaningful, and I don't think it has a specific name.