How to find out what kind of figure through vectors?

Question

Mathematics

Hello everyone, I want to write a code that will display the name of a shape using vectors. If I'm not mistaken, then you need a vector and an angle between them or a scalar product. A few months ago, the idea was in my head how to implement everything, and when it came time to do it, everything was forgotten.

Answer 1

Make a bunch of rules and checks for each shape. For example:
Triangle : 3 vectors such that
c=±a±b
Here it should be understood that this can be and
a=±c±b
or
b=±a±c
Right triangle : 3 vectors such that the
dot product of one of the pairs of vectors is zero (or the angle is 90 degrees)
+ Rule for a triangle
Isosceles triangle : 3 vectors such that
one of the pairs of vectors is equal to (or there are two equal angles)
+ Rule for a triangle
Equilateral triangle : 3 vectors such that their moduli are equal
|a|=|b|=|c|
+ Rule for a triangle
, etc.