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Find the vector equation of a plane, whi...

Find the vector equation of a plane, which is at a distance of 7 units from the origin and which is normal to the vector `3hati+5hatj-6hatk`.

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Find the vector equation of a plane, which is at a distance of 7 uits from the origin and which is normal to the vector 3hati+5hatj-6hatk .

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Find the vector equation of a plane, which is at a distance of 5 units from the origin and its normal vector is 2hati-3hatj+6hatk .

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Find the vector equation of a plane which is at a distance of 5 units from the origin and has as the direction numbers of a normal to the plane.

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. In each of the following cases, determine the direction cosines of the...

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  2. In the following case, determine the direction cosines of the normal ...

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  3. Find the vector equation of a plane, which is at a distance of 7 units...

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  4. Find the cartesian equations of the following planes: vecr*(4hati+8hat...

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  5. Find the cartesian equations of the following planes: vecr*(2hati+3hat...

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  6. Find the cartesian equations of the following planes:⃗ r ⋅ [ ( s − 2 t...

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

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

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

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

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

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

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  13. Find the equations of the plane that passes through three points : (1,...

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  14. Find the equations of the plane that passes through three points : (1,...

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  15. Find the intercepts cut off by the plane 2x+y-z = 5

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  16. Find the equation of the plane with intercept 3 on the y-axis and para...

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  17. Find the equation of the plane through the intersection of the planes ...

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  18. Find the vector equation of the plane passing through the intersection...

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  19. Find the equation of the plane through the intersection of the planes ...

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  20. Find the angle between the planes whose vector equations are vecr cdot...

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