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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

If a parallelepiped is formed with edges along the axes and one vertex at the origin and the opposite vertex at (a, b, c), its main diagonal has length:

Answer: √(a² + b² + c²).

  • A abc
  • B √(ab + bc + ca)
  • C √(a² + b² + c²)
  • D a + b + c

Correct answer: C. √(a² + b² + c²)

Explanation: The main diagonal joins the origin to (a, b, c), so its length is simply the distance from the origin.

zxyOP(x, y, z)first octant:x>0, y>0, z>0

Concept context

Coordinate axes and planes in space, octants, distance between two points, and the section formula

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