# Hyperplane problem by Lagrange multiplier method

Solve the problem using Lagrange multiplier method.

Find the point that belongs to both hyperplanes xT c = β and xT d = γ which is closest to the origin.

• What did you try ? – Claude Leibovici Dec 2 '15 at 7:31

## 1 Answer

Hint: What does each partial derivative of these products and of $\|\mathbf x\|^2$ look like?