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Find the vector and cartesian equations of the plane which passes through the point (5, 2, – 4) and perpendicular to the line with direction ratios 2, 3, – 1.

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the vector equation of the plane through the point (2,0,-1) and p...

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

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  3. Find the vector and cartesian equations of the plane which passes thro...

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  4. Find the vector and cartesian equations of the plane that passes throu...

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  5. Find the vector and cartesian equations of the plane that passes thro...

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  6. Find the length of the perpendicular from the point(2,3,7) to the plan...

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  7. In the following , find the distance of each of the given points from ...

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  8. In the following , find the distance of each of the given points from ...

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  9. In the following case, find the distance of each of the given point fr...

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  10. In the following case, find the distance of each of the given point fr...

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  11. In the following, determine the direction cosines of the normal to the...

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  12. In the following, determine the direction cosines of the normal to the...

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  13. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr*...

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  14. In the following case, find the coordinates of the foot of the perpend...

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  15. In the following case, find the coordinates of the foot of the perpend...

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  16. In the following cases, find the co-ordinates of the foot of the perpe...

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  17. In the following case, find the coordinates of the foot of the perpend...

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  18. Find the length and the foot of the perpendicular from the point (7, 1...

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  19. Find the vector equation of the line passing through (1, 2, 3) and par...

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  20. Find the vector equation of the line passing through (1, 2, 3) and per...

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