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If a line makes angles 90^(@),60^(@),45^...

If a line makes angles `90^(@),60^(@),45^(@)` with positive x,y and z axis, find its direction cosines.

Text Solution

Verified by Experts

The correct Answer is:
`lt0,1/2,(sqrt(3))/(2)gt`
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If a line angles 90^@, 135^@, 45^@ with the positive x,y and z axis respectively, find its direction cosines.

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Knowledge Check

  • If a line makes angle 90^(@),135^(@),45^(@) with X,Y and Z-axis respectively, then its direction cosines are

    A
    `(0,0,0)`
    B
    `(0,(-1)/(sqrt(2)),(1)/(sqrt(2)))`
    C
    `((1)/(sqrt(2)),(-1)/(sqrt(2)),0)`
    D
    `(-(1)/(sqrt(2)),0,(1)/(sqrt(2)))`

  • If a line makes angle 90^(@),135^(@),45^(@) with X,Y and Z-axis respectively, then its direction cosines are

    A
    `(0,0,0)`
    B
    `(0,(-1)/(sqrt(2)),(1)/(sqrt(2)))`
    C
    `((1)/(sqrt(2)),(-1)/(sqrt(2)),0)`
    D
    `(-(1)/(sqrt(2)),0,(1)/(sqrt(2)))`

  • If a line makes angle 90^(@),60^(@) and 30^(@) with the positive direction of x,y and z axis respectively then its direction cosines will be

    A
    `(0,1/2,(sqrt(3))/(2))`
    B
    `(1/2,0,(sqrt(3))/(2))`
    C
    `((sqrt(3))/(2),1/2,0)`
    D
    None of these

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