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If a line makes an angles of 30^@, 60^@,...

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

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. find the vector equations of the line which is parallel to the vector ...

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  2. Find the direction cosines of the line passing through the points P(2,...

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

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  4. If the x - coordinate of a point P on the line joining points Q(2,2,1)...

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  5. Find the distance of the point whose position vector is 2hati+hatj-hat...

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  6. Find the position vector of a point A in space such thatvec(OA) is inc...

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  7. Parametric equations of a line are x=-1+2t, y=3-4t and z=2+t. find the...

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  8. Parametric equations a line are x=2-3t, y=-1+2t and z=3+t. write down ...

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  9. Vector equations of a line if vecr=3hati-6hatj+7hatk+lambda(2hati-hatj...

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  10. Vector equation of a plane is vecr.(2hati+4hatj-3hatk)=5. Write down t...

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  11. What is the distance of the point (-1,2,1) from the plane 2x-3y+4z+5=0...

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  12. Find p if the plane x+y-2z+6=0 is parallel to the plane px+3y-6z-1=0.

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  13. Write the equation to the locus of a point which is always at a fixed ...

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  14. Find the vector equations to the locus of a point whose distance from ...

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  15. If the line drawn from the point (-2,-1,-3) meets a plane at right ang...

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  16. Write the distance of the plane 2x-y+2z+1=0 from the origin.

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  17. Write the direction of cosines of the line joining the poidnts (1,0,0)...

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  18. Write the vector equations of the plane throught the point (a,b,c) and...

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  19. If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4, w...

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  20. Distance of the point (2,5,-3) from the plane vec r.(6hat i-3 hat j+2 ...

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