A plane passes through a fixed point $(a, b, c) ˙$ Show that the locus of the foot of the perpendicular to it from the origin is the sphere $x^{2} + y^{2} + z^{2} - a x - b y - c z = 0 .$

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A plane passes through a fixed point

(a, b, c) ˙

Show that the locus of the foot of the perpendicular to it from the origin is the sphere

x^{2} + y^{2} + z^{2} - a x - b y - c z = 0 .

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A plane passes through a fixed point

(a, b, c) ˙

Show that the locus of the foot of the perpendicular to it from the origin is the sphere

x^{2} + y^{2} + z^{2} - a x - b y - c z = 0 .

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