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Foot of the perpendicular and intercepts

Planes

Concept 8 of 11 in Line and Plane

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Think about this

The plane x+y+z=3x + y + z = 3 passes through (3,0,0)(3, 0, 0), (0,3,0)(0, 3, 0) and (0,0,3)(0, 0, 3). Which point of it is nearest the origin?