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Find the direction cosines of a line whi...

Find the direction cosines of a line which makes equal angles with the coordinate axes.

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The correct Answer is:
A, C
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Knowledge Check

  • Direction cosines of the line that makes equal angles with three axes in a space are

    A
    `pm (1)/(3), pm (1)/(3), pm(1)/(3)`
    B
    `pm (6)/(7), pm(2)/(7), pm(1)/(7)`
    C
    `pm(1)/(sqrt(3)), pm (1)/(sqrt(3)), pm(1)/(sqrt(3))`
    D
    `pm sqrt((1)/(7)), pmsqrt((3)/(14)), pm sqrt((1)/(14))`

  • the direction cosines of a line equally inclined to the co-ordinate axes are:

    A
    `1,1,1`
    B
    `1/sqrt2, 1/sqrt2, 1/sqrt2`
    C
    `+-1/3, +-1/3, +-1/3`
    D
    `+-1/sqrt3, +-1/sqrt3, +-1/sqrt3`

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