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If line makes angles 90^@,45^@,135^@ wi...

If line makes angles `90^@,45^@,135^@` with X, Y and Z axes respectively then its direction ratios are =.

A

lt 1, -1/sqrt2 , 1 gt

B

lt 0, -1 , 1 gt

C

lt -1, 0, I gt

D

lt 0, 1, -1 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)) .

If a line angles 90^@, 135^@, 45^@ with the positive x,y and z axis respectively, find its direction cosines.

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)))`

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

    A
    `lt 1, 0, 2 gt`
    B
    `lt0,(-1)/sqrt2,1/sqrt2gt`
    C
    `lt1/sqrt2,1/sqrt2,(-1)/sqrt2gt`
    D
    `lt1/sqrt2,1/sqrt2,0gt`

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    If a line makes angles 30°,60° and 90° with x,y and z-axis respectively, find its direction cosines.

    If a line makes angles of 90^@,60^@ and 30^@ with the positive x, y and z axis respectively, find its direction-cosines.

    If a line makes angles of 90^@,60^@ and 30^@ with the positive x, y and z axis respectively, find its direction-cosines.

    If a line makes angles 90^@ , 135^@ and 45^@ with positive direction of X, Y and Z axis respectively, then its direction-cosines are

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

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