Find an equation of a plane that is perpendicular to the plane x-2y+z=7

I know his has to do with vectors because the dot product must = 0....

:-/

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- January 12th 2008, 12:01 PMstones44More Planes
Find an equation of a plane that is perpendicular to the plane x-2y+z=7

I know his has to do with vectors because the dot product must = 0....

:-/ - January 12th 2008, 02:27 PMThePerfectHacker
There is more than one answer to this problem.

- January 12th 2008, 02:33 PMSoroban
Hello, stones44!

Quote:

Find an equation of a plane that is perpendicular to the plane

A door is perpendicular to the floor. .Swing the door

. . and you have thousands of planes perpendicular to the floor.

Our plane can go through any point, say,

Its normal vector, , must be perpendicular to

Hence, we have: .

. . We can use, for example: .

The equation is: .

. . . . . . . . . . . .