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Find the equations of the line through (...

Find the equations of the line through (-1,3,2) and perpendicular to the plane `x+2y+2z=3`, the length of the perpendicular and co-ordeinates of its foot.

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Show that the line L whose vector equation is vecr=2hati-2hatj+3hatk+l...

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  2. State when the line vecr=veca+lambdavecb is parallel to the plane vecr...

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  3. Find the equations of the line through (-1,3,2) and perpendicular to t...

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  4. Find the vector equation of the line passing through the point (3,1,2)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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