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A line makes 90^@, 135^@, 45^@ with x, y...

A line makes `90^@`, `135^@`, `45^@` with x, y and z axes respectively than its direction cosines are

Text Solution

Verified by Experts

The correct Answer is:
`lt,(-1)/(sqrt(2)),(1)/(sqrt(2))gt`
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If a line makes angles 90^(@), 135^(@), 45^(@) with x, y and z-axes respectively, then its directin cosines are 0, - (1)/(sqrt(2)), (1)/(sqrt(2)) .

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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)))`

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