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  1. #include <iostream>
  2.  
  3. struct Position {
  4.     double x, y, z;
  5. };
  6.  
  7. struct UnitVector {
  8.     double x, y, z;
  9. };
  10.  
  11. struct Plane {
  12.     Position pos; // arbitrary point that lies on the plane
  13.     UnitVector normal; // normal vector to the plane
  14. };
  15.  
  16. // Helper function to calculate the dot product of two vectors
  17. double calculate_dot_product(const UnitVector& vec1, const UnitVector& vec2) {
  18.     return vec1.x * vec2.x + vec1.y * vec2.y + vec1.z * vec2.z;
  19. }
  20.  
  21. // Helper function to check if two vectors are perpendicular
  22. bool is_perpendicular(const UnitVector& vec1, const UnitVector& vec2) {
  23.     return calculate_dot_product(vec1, vec2) == 0;
  24. }
  25.  
  26. bool isVectorInPlane(const UnitVector& vec, const Plane& plane) {
  27.     // Create a vector from the plane's point to the given vector
  28.     UnitVector pointToVec = {vec.x - plane.pos.x, vec.y - plane.pos.y, vec.z - plane.pos.z};
  29.  
  30.     // Check if the vector from the plane's point to the given vector is perpendicular to the plane's normal vector
  31.     return is_perpendicular(pointToVec, plane.normal);
  32. }
  33.  
  34. int main() {
  35.     UnitVector vec = {0.0, 1.0, 0.0};
  36.     Plane plane = {{0.0, 0.0, 0.0}, {1.0, 0.0, 0.0}};
  37.  
  38.     if (isVectorInPlane(vec, plane)) {
  39.         std::cout << "The vector lies in the plane." << std::endl;
  40.     } else {
  41.         std::cout << "The vector does not lie in the plane." << std::endl;
  42.     }
  43.  
  44.     return 0;
  45. }
Success #stdin #stdout 0.01s 5288KB
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Standard input is empty
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The vector lies in the plane.
https://ideone.com/l6LGuK
language:
C++14 (gcc 8.3)
created:
3 days ago
visibility:
public

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