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Prove that the points (1,2,3),(4,0,4),(-...

Prove that the points (1,2,3),(4,0,4),(-2,4,2) and (7,-2,5) are collinear.

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equation in vector anf cartesian form of the line passing thr...

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  2. Find the equation of the line passing through the point (2, -1, 3) and...

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  3. Prove that the points (1,2,3),(4,0,4),(-2,4,2) and (7,-2,5) are collin...

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  4. Show that the following points whose psitions vectors are given are co...

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  5. Show that the following points whose psitions vectors are given are co...

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  6. Find the points on the line through the points A(1,2,3) and B(5,8, 15)...

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  7. Find the equations of the perpendicular from the point (3,-1,11,) to t...

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  8. Show that the line joining the origin to the point (2, 1, 1) is perpen...

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  9. Find the vector equation of a line passing through a point with positi...

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

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  11. Find the distance of the point (1,2,3) from the line joining the point...

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  12. Find the distance of the point (1,2,3) from the co ordinate axes.

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  13. Find the distance of (-1,2,5) from the plane passing through the poin...

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  14. Find the perpendicular distance of the point (1,0,0) from the line : (...

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

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  16. Find the perpendicular distance from the point (1,2,3) to the line : v...

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  17. Find the image of the point (2,-1,5) in the line (x-11)/(10)=(y+2)/(-4...

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  18. Find the foot of the perpendicular from the point (0,2,3) on the line ...

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  19. Find the coordinates of the foot of the perpendicular drawn from point...

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  20. A(1,0,4), B(0,-11,3), C(2,-3,1) are three points and D is the foot of ...

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