find the equation of the plane that goes through (1,2,-1) and making equal angles with the positive directions of the coordinate axes

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- Mar 11th 2008, 06:59 PMramzouzyfind eqaution of a plane
find the equation of the plane that goes through (1,2,-1) and making equal angles with the positive directions of the coordinate axes

- Mar 11th 2008, 09:38 PMSoroban
Hello, ramzouzy!

Quote:

Find the equation of the plane that goes through (1,2,-1) and

makes equal angles with the positive directions of the coordinate axes

This plane is tilted so there is an equilateral triangle in the first octant.

. . It has normal vector: .

Hence, its equation has the form: .

Since (1,2,-1) is on the plane: .

Therefore: .