Write a function coplanar(, that takes as parameters four 3D vectors representing points, and returns a boolean: true if all four points lie on the same plane, false otherwise. Your function should...

in C++ mathematical functions language

Extracted text: Write a function coplanar(, that takes as parameters four 3D vectors representing points, and returns a boolean: true if all four points lie on the same plane, false otherwise. Your function should have the following signature: bool coplanar(Vector3 p, Vector3 q, Vector3 r, Vector3 s) You can assume that Vector3 is a class that represents a 3D vector, and exposes fields named x, y, and z, and that the following functions are available to you: double dot(Vector3 u, Vector3 v) //dot product Vector3 cross(Vector3 u, Vector3 v) //cross product You can assume that the Vector3 class has the following member functions available to you: Vector3 Vector3.normalized0 //returns a vector pointing in the same direction with length 1 double Vector3.magnitude() //returns the length of the vector You can assume that the Vector3 class supports the following operators: Vector3 + Vector3 Vector3 - Vector3 Answer: (penalty regime: 0 %) Check