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If a line makes angles of 90^@,60^@ and ...

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

A

`lt1,sqrt3/2,1/2gt`

B

`ltundefined,sqrt3,1/sqrt3gt`

C

`lt0,1/2,sqrt3/2gt`

D

`lt0,1,1gt`

Text Solution

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Direction cosines of the normal to the plane: 2x-3y+4z-6=0 are :

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  2. If a vector makes angles alpha, beta, gamma with x, y and z axes respe...

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  3. If a line makes angles of 90^@,60^@ and 30^@ with the positive x, y an...

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  4. The direction cosines of the line joining the points (-2, 4, -5) and (...

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  5. Distance between plane defined by 3x + 4y + 5 = 0 and the point (5, 0,...

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  6. Vector equation of the line (x+1)/(2)=(y-4)/(4)=(z+6)/(3)

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  7. The value of lambda for which the plane vecr*(2hati-2hatj+4hatk)=5 is ...

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  8. Direction casines of z-axis are

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  9. If a line has direction ratios <2,-1,-2>, then what are its direction ...

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  10. A line makes angles 45^@ and 60^@ with the positive direction of the a...

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  11. Equation of line passing through the point (2,3,1) and parallel to the...

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  12. If the direction cosines of a vector of magnitude 3 are <2/3, -a/3, 2/...

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  13. Equation of line passing through the point (2,3,1) and parallel to the...

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  14. A unit vector parallel to the straight line: (x-2)/3=(3+y)/-1=(z-2)/-4...

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  15. The angle between a normal to the plane : 2x-y+2z-1=0 and the z axis i...

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  16. Find the coordinates of the Foot of the perpendicular drawn from the ...

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  17. The distance between the x axis and the point (3,12,5) is :

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  18. The shortest distance of the point (a,b,c) from the x-axis is

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  19. Equation of the plane perpendicular to the line x/1=y/2=z/3 and passin...

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  20. The line (x-2)/3=(y-3)/4=(z-4)/5 is parallel to the plane:

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