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Find the co-ordinates of the point, wher...

Find the co-ordinates of the point, where the line: `(x-2)/3=(y+1)/4=(z-2)/2` intersects the plane `x-y+z-5=0`. Also find the angle between the line and the plane.

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Find the point where the line (x+1)/2=(y+2)/3=(z+3)/4 meets the plane x+y+4z=6 .

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Find the angle between the line (x-2)/3=(y+1)/-1=(z-3)/-2 and the plane 3x+4y+z+5=0 .

Find the distance from the point (3,4,5) of the plane, where the line : (x-3)/1=(y-4)/2=(z-5)/2 meets the plane x+y+z=2 .

Find the projection of the line (x-1)/2=(y+1)/-1=(z-3)/4 in the plane x+2y+z-9=0 .

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the vector equation of the line passing through the point (3,1,2)...

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  2. Find the vector equation of a line passing through the point with posi...

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  3. Find the co-ordinates of the point, where the line: (x-2)/3=(y+1)/4=(z...

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  4. Find the length of the perpendicular from the point (1,2,3) to the lin...

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  5. Find the point, where the line joining the points (1,3,4) and (-3,5,2)...

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  6. Find the co-ordinates of the point where the line joining the points (...

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  7. Find the equation of the plane passing through the point (1,1,1) and c...

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  8. Find the equation of the plane passing through the points (1,2,1) and ...

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  9. Find the vector equation of the plane passing through three points wit...

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  10. A line makes 90^@, 135^@, 45^@ with x, y and z axes respectively than ...

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  11. Find the direction cosine of a line which makes equal angles with the ...

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  12. If a line has the direction ratios –18, 12, – 4, then what are its dir...

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  13. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear...

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  14. Find the direction cosines of the sides of the triangle whose vertices...

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  15. show that the three lines with direction cosines <12/13,-3/13,-4/13>, ...

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  16. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

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  17. Show that the line through the points : (4,7,8), (2,3,4) is parallel t...

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  18. Find the equation of the line which passes through the point (1, 2, 3)...

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  19. Find the equation of the line in vector and in cartesian form that pas...

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  20. Find the cartesian equation of the line which passes through the point...

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