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The direction cosines of a line equally ...

The direction cosines of a line equally inclined with the coordinates axes are-

A

`1/sqrt(3), -1/sqrt(3), 1/sqrt(3)`

B

`1/sqrt(3), -1/sqrt(3), -1/sqrt(3)`

C

`-1/sqrt(3), -1/sqrt(3), 1/sqrt(3)`

D

`1/sqrt(3), 1/sqrt(3), 1/sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
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The direction cosines of y-axis are-

Show that the direction cosines of a vector equally inclined to the axes OX,OY and OZ are +-((1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3))) .

Knowledge Check

  • The direction cosines of x-axis are-

    A
    `0, 1, 0`
    B
    `0, 0, 1`
    C
    `1, 0, 0`
    D
    `1, 1, 1`

  • The direction cosines of z-axis are-

    A
    `0, 0, 1`
    B
    `0, 1, 0`
    C
    `1, 1, 1`
    D
    `1, 0, 0`

  • The direction cosines of the line which is perpendicular to the lines with direction ratios 1, -2, -2 and 0, 2, 1 are -

    A
    `2, -1, 2`
    B
    `(2)/(3), (1)/(3),(2)/(3)`
    C
    `(2)/(3), -(1)/(3), (2)/(3)`
    D
    `-2, 1,-2`

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    Find the direction ratios of a straight line which makes equal angles with the coordinate axes. How many such straight line are there?

    Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2,3).

    If the bisector of angle A P B , where P Aa n dP B are the tangents to the parabola y^2=4a x , is equally, inclined to the coordinate axes, then the point P lies on the

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