Friday

March 27, 2015

March 27, 2015

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

- math -
**Reiny**, Monday, March 16, 2009 at 7:44pmthe 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**

**Related Questions**

maths - geometry - In a space with an orthonormal coordinate system consider the...

Math - Use lagrange multipliers to find the point on the plane x-2y 3z-14=0 that...

math - In the diagram show, every point in the plane with integer coordinates is...

math - Quadrilateral ABCD is a square. The coordinates of point A are (3,2), ...

Math - The position vectors A and B with respect to the origin O,(-8,5) are (12...

math - The position vectors of points A and B with respect to the origin 0, are...

math - The position vectors of points A and B with respect to the origin 0, are...

math - Which point on the circle x^2+y^2-12x-4y=50 is closest to the origin? ...

Math - Which point on the circle x^2+y^2-12x-4y=50 is closest to the origin? ...

Linear Algebra - In 3-space, a plane abc is spanned by three points a, b, c. The...