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What are the direction cosines of a line...

What are the direction cosines of a line whose direction ratios are 3,4,12?

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STATEMENT-1 : The angle between the lines whose direction ratios are (1, 2, 3) and (-12, 3, 2) is 90^(@) STAEMENT-2 : The direction cosines of a line whose direction ratios are (3, 4, 12) are (3/13, 4/13, 12/13) . STATEMENT-3 : If cosalpha, cosbeta,cosgamma are the direction cosines of a line then sin^(2)alpha + sin^(2)beta +sin^(2)gamma = 2.

What are the direction cosines of Z-axis?

Knowledge Check

  • If the direction cosines of a line are lt k, k, kgt then

    A
    `k gt 0`
    B
    ` 0 lt k lt 1`
    C
    `k=1`
    D
    `k=(1)/(sqrt(3) )` or `k=- (1)/( sqrt3)`
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