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The direction cosines of x-axis are-...

The direction cosines of x-axis are-

A

`0, 1, 0`

B

`0, 0, 1`

C

`1, 0, 0`

D

`1, 1, 1`

Text Solution

Verified by Experts

The correct Answer is:
C
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The equation of a line are (4-x)/(2)=(y+3)/(2)=(z+2)/(1) . Find the direction cosines of a line parallel to the above line.

Knowledge Check

  • 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 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)`

  • If the cartesian equation of a line AB is (x-1)/(2)=(2y-1)/(12)=(z+5)/(3) , then the direction cosines of a line parallel to AB are -

    A
    `(2)/(sqrt(157)), (2)/(sqrt(157)),(3)/(sqrt(157))`
    B
    `(1)/(sqrt(37)), (6)/(sqrt(37)), (3)/(2sqrt(37))`
    C
    `(2)/(7),(12)/(7), (3)/(7)`
    D
    `(2)/(7), (6)/(7), (3)/(7)`

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    The direction cosines of a line satisfy the relations lamda(l+m)=nandmn+nl+lm=0 . The value of lamda for which the two lines are perpendicular to each other, is

    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))) .

    Find the direction cosines of a straight line which is situate on yz-plane and inclined at an angle 60^@ with poistive direction of z-axis.

    If the equation of a straight line is 6x-2=3y+1=2z-2 , then direction cosines of the line are -

    The direction cosines of the line (x+3)/(2)=(2y-3)/(-3)=(z-1)/(0) are -

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