# cross product between two vectors

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?

• At least the first question has been asked and answered many times already, see for example math.stackexchange.com/questions/1395970/… and the linked questions there. Commented Apr 17, 2020 at 10:35
• To answer the last part of Q2, the cross product should be perpendicular to both force vectors. Unless the two forces are going in the same direction (or have an angle of 180 degrees between them, in which case the cross product is zero). Commented Apr 19, 2020 at 9:42