I know there is a way to find the area in plane using 3 points but when it comes to space(3D) does it work too? if so how should it look?
Thanks
areasolid-geometry
I know there is a way to find the area in plane using 3 points but when it comes to space(3D) does it work too? if so how should it look?
Thanks
Best Answer
If you have three points $A,B,C$ you can form the vectors $AB$ and $AC$.
The norm of the cross product vector $AB\times AC$ is twice the area of the triangle $ABC$
Since the cross product is found be a determinant, the area of a triangle could also be found by a determinant.