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Write down direction cosines of the line...

Write down direction cosines of the line `(1-x)/1=(y-2)/1=(z-3)/1`.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. What is the shortest distance between two intersecting lines?

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  2. Direction cosines of hat i are ‘

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  3. Write down direction cosines of the line (1-x)/1=(y-2)/1=(z-3)/1.

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  4. What is the angle between the planes x+y=0 and z=0.

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  5. Name the surface represented by the equation ax+by+cz+d=0, where a^2+b...

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  6. Write the attitude numbers of the plane 2x-3y+4z-13=0.

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  7. Find p if the planes 2x+3y+6z-13=0 and 6x+py-3z=0 are at right angles.

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  8. Find lambda if the lines x/6=y/2=z/-3 and x/p=y/-6=z/2 are at right an...

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  9. Find the intercepts of the plane 2x-3y+4z-24=0 on the cooridnate axes.

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  10. Find the distance of the plane x+y+z-sqrt3=0 from the origin.

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  11. Does the line x=y=0 lie in the plane z=0.

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  12. Name the surface represented by the equation 2x-3y=0.

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  13. Find the distance between the point (2,3,6) and (0,0,0).

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  14. Write down the coordinates of the mid point of the segment joining the...

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  15. If the direction ratios of a line <2,-1,-2> find the direction cosines...

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  16. find the vector equations of the line which is parallel to the vector ...

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

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

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

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

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