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

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDirection Cosines and Direction Ratios1 Mark
MCQ
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:
  • A
    $2$
  • B
    $3$
  • C
    $4$
  • ✓
    all of these
✓

Answer

Correct option: D.
all of these
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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