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📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The line with direction (1, 2, 2) and the plane 2x − 2y + z = 5 are:

Answer: parallel to each other.

  • A parallel to each other
  • B perpendicular
  • C inclined at 30°
  • D inclined at 45°

Correct answer: A. parallel to each other

Explanation: Direction · normal = 2 − 4 + 2 = 0, so the line is parallel to the plane.

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

Read the full Three Dimensional Geometry notes →