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If a line makes angle 90^@, 60^@" and "3...

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

Text Solution

Verified by Experts

The correct Answer is:
`0,1/2` and `(sqrt3)/(2)`
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Knowledge Check

  • If a vector bar(x) makes angles with measure pi/4 and (5pi)/(4) with positive direction of X-axis and Y-axis respectively, then bar(x) made angle of measure . . . . . . .with positive direction of Z-axis

    A
    `pi/3`
    B
    `pi/4`
    C
    `pi/2`
    D
    `(5pi)/(3)`

  • The plane makes the angles (pi)/(4),(pi)/(4) and (pi)/(2) with the positive direction of X - axis, Y - axis and Z- axis respectively. The length of perpendicular drawn from origin to the plane is sqrt(2) , then the equation of the plane is .......

    A
    x+y = 2
    B
    x+y+z = 1
    C
    x+y+z = `sqrt(2)`
    D
    `x = sqrt(2)`

    • Similar Questions

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

    If a line has direction ratios 2, -1, -2, determine its direction cosines.

    If alpha, beta and gamma are angles made by the line with positive direction direction of X-axis, Y-axis and Z-axis respectively, then find the value of cos2alpha+cos2beta+cos2gamma .

    Find the slope of the line, which makes an angle of 30^(@) with the positive direction of y-axis measured anticlockwise.

    If a line makes an angle (pi)/(4) with the positive directions of each of X-axis and Y-axis, then the angle that the line makes with the positive direction of the Z-axis is

    If a line makes angles alpha,beta and gamma with the positive direction of axes then show that, sin^2alpha+sin^2 beta sin^2 gamma=2

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