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A line makes angles 90^(@), 60^(@) , 30^...

A line makes angles `90^(@), 60^(@) , 30^(@)` with the positive direction of X,Y,Z axes respectively. Find its direction cosisnes.

Text Solution

Verified by Experts

The correct Answer is:
`(0,(1)/(2),(sqrt(3))/(2))`
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A line makes angles 90^(@), 60^(@)and 30^(@) with the positive direction of x,y,z-axes respsectively. Find its direction cosines.

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Knowledge Check

  • A straight line makes an angle (pi)/3 with positive direction of x-axis measured in anti clock direction and makes positive intercept on y-axis and the line is at a distance of 5 units from origin then its equation is

    A
    `y-sqrt(3)x-10`
    B
    `y=sqrt(3)x+10`
    C
    `y=sqrt(3)x+8`
    D
    `y=sqrt(3)x-8`

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    The direction ratios of a line are (-6,2,3) .Find the its direction cosines .

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    If a line makes angles alpha, beta , lambda with the positive directions of x,y,z -axes, what is the value of sin^(2) alpha + sin^(2) beta + sin^(2) lambda ?

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