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📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The equation of the plane through origin with normal vector (1, -2, 3) is:

Answer: x - 2y + 3z = 0.

  • A x - 2y + 3z = 0
  • B x + 2y + 3z = 1
  • C x - 2y + 3z = 1
  • D 2x - y + 3z = 0

Correct answer: A. x - 2y + 3z = 0

Explanation: Plane through origin with normal (a,b,c): ax + by + cz = 0. Here: x - 2y + 3z = 0.

zxyOP (x, y, z)

Three mutually perpendicular axes x, y, z meeting at the origin O, with a point P located by its (x, y, z) coordinates.

Concept context

Lines and planes in 3D space, direction cosines, distances, and angles

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