Hello

Let be the orthogonal projection of on the plane which equation is

We know two things about :

- As the projection is orthogonal, is orthogonal to the plane.
- lies in the plane :

Luckily, the equation of the plane gives us a vector which is orthogonal to the plane : . As and are both orthogonal to the plane, they share the same direction that is to say that there exists a real number such that .

As and we have four equations :

Substituting and in will give you the value of from which you'll get . Good luck