Friday
March 24, 2017

Post a New Question

Posted by on Monday, March 16, 2009 at 6:30pm.

how do you find the coordinates of the point (x, y, z) on the plane z = 1 x + 1 y + 2 which is closest to the origin

  • math - , Monday, March 16, 2009 at 7:44pm

    the closest point is surely on a line from (0,0,0) meeting the plane at right angles.
    but the normal to the given plane is (1,1,-1)
    so the line must have direction (1,1,-1)
    it's parametric equations would be:
    x = k
    y = k
    z = -k

    sub that in to the plane to find the value of k, sub back in the parametrics
    and voila, there is your point.

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question