Explore BrainMass
Share

Explore BrainMass

    Closest point to the origin

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Find the closest point of the surface:
    xy + xz + yz = 1 to the origin.
    and
    x^2 + y^2 - Z^2 = 1 to the origin.

    © BrainMass Inc. brainmass.com October 9, 2019, 10:04 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/closest-point-origin-207311

    Solution Preview

    Find the closest point of the surface:
    (1) xy + xz + yz = 1 to the origin.
    Actually we want to find the minimum value of subject to the constraints.
    We use Lagrange multiplier
    (1) Let
    (1)
    (2)
    ...

    Solution Summary

    The solution provides an example of finding the closest point of given surfaces to the origin.

    $2.19