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Direction Cosines and Direction Ratios — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDirection Cosines and Direction Ratios1 Mark
Question
A rectangular parallelopiped is formed by planes drawn through the point (5, 7, 9) and (2, 3, 7) parallel to the coordinate planes. The length of an edge of this rectangular parallelopiped is:
  1. 2
  2. 3
  3. 4
  4. all of these
✓

Answer

  1. all of these

Solution:

The give point (5, 7, 9) and (2, 3, 7) are two diagonally opposite vertices of the parallelopiped as all of theire coordinates.

Edges of the paralleloppiped = |5 - 2|, |7 - 3|, |9 - 7|

=3, 4, 2.

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