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The direction cosines of a line equally inclined to the +ve directions of axes are
  • a)
    < 1, 1, 1 >
  • b)
    < 1/3, 1/3, 1/3 >
  • c)
    < 1/√3, 1/√3, 1/√3 >
  • d)
    < 1/2, 1/2, 1/2 >
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The direction cosines of a line equally inclined to the +ve directions...
The direction cosines of a line equally inclined to the three directions of axes are given by:

l = m = n = 1/√3

where l, m, and n are the direction cosines along the x, y, and z axes respectively.

This means that the line makes equal angles with each of the three coordinate axes and is oriented in a direction that is equally inclined to all three axes. This can be visualized as a line passing through the center of a cube and intersecting each face at a 45-degree angle.
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The direction cosines of a line equally inclined to the +ve directions of axes area)< 1, 1, 1 >b)< 1/3, 1/3, 1/3 >c)< 1/√3, 1/√3, 1/√3 >d)< 1/2, 1/2, 1/2 >Correct answer is option 'C'. Can you explain this answer?
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