Explore BrainMass
Share

Explore BrainMass

    plane passing to the cuts

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

    Find an equation of the plane that passes through the point (1,2,3) and cuts off the smallest volume in the first octant.

    © BrainMass Inc. brainmass.com October 10, 2019, 2:43 am ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/plane-passing-cuts-390345

    Solution Preview

    Please see attachment.

    Problem:

    Find an equation of the plane that passes through the point (1,2,3) and cuts off the smallest volume in the first octant.

    Solution:

    The general equation of a plane passing to the cuts (a, b, c) is
    ( 1)
    If the plane passes trough the point (1,2,3), the above equation needs to by satisfied by the coordinates of this point:
    ( 2)
    The volume of the body formed by this plane with ...

    Solution Summary

    The general equation of a plane passing to the cuts is depicted here.

    $2.19