, , . Show that the three planes , and do not intersect, and describe their…

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Π1:x−3y+2z=−7\Pi_1: x - 3y + 2z = -7, Π2:4x+y−z=−5\Pi_2: 4x + y - z = -5, Π3:6x−5y+3z=1\Pi_3: 6x - 5y + 3z = 1. Show that the three planes Π1\Pi_1, Π2\Pi_2 and Π3\Pi_3 do not intersect, and describe their geometrical configuration.

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