Distance Of A Point From A Plane

Concept:
The point on a plane that is closest to the origin is the foot of the perpendicular drawn from the origin to that plane. For a plane of the form: the coordinates of the foot of the perpendicular from the origin are given by:
Step 1: {Identify the coefficients from the plane equation.} Given plane: Thus,
Step 2: {Compute .}
Step 3: {Substitute into the formula.}
Step 4: {Write the coordinates of the point.}
Step 5: {Conclusion.} Hence, the coordinates of the foot of the perpendicular from the origin to the given plane are: