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Find the vector equation of the plane through the planes : `vecr*(hati+hatj+hatk)=6 and vecr*(2hati+3hatj+4hatk)=-5` at the point (1,1,1).

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Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vecr*(3hati-3hatj+5hatk)=3

Find the vector equation of the plane passing through the intersection of the planes vecr.(hati+hatj+hatk) =6 and vecr.(2hati+3hatj+4hatk)=-5 and point (1,1,1)

Find the vector equation of the plane passing through the intersection of the planes : vecr*(2hati-hatj+2hatk)=2 and vecr*(3hati+hatj-2hatk)=-2 and perpendicular to the veca=5hati-2hatj+3hatk .

Find the equations of the plane through the intersection of the planes vecr.(hati-1hatj)=-6 and vecr.(3hati+3hatj-4hatk)=0 , whose perpendicular distance form the origin is unity.

Find the cartesian equations of the following planes: vecr*(2hati+3hatj-4hatk)=1

Find the vector equation of the plane passing through the intersection of the planes vecr cdot (hati+hatj+hatk) = 6 and vecr cdot(2hati + 3hatj+4hatk) = -5 , and the point (1, 1, 1).

Find the cartesian equation of the following planes: vecr.(2hati-3hatj-4hatk)=1

Find the acute angle between the planes vecr.(hati+2hatj-hatk)=3 and vecr.(2hati-hatj+2hatk)=2 .

Find the vector equation of the line through the origin, which is perpendicular to the plane vecr*(hati-2hatj+hatk)=3 .

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equation of the plane, which bisects the line joining the poi...

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  2. Find the equation of the plane throught he intersection of the planes ...

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  3. Find the vector equation of the plane through the planes : vecr*(hati+...

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  4. Find the vector equation of the following plane in scalar product form...

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  5. Find the Cartesian equation of the plane passing through three non-col...

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

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  7. Find the equations of the planes passing through the following points ...

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  8. Find the equation of the plane through three non-collinear points (0, ...

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  9. Find the equation of the plane passing through the points : (3, -1, 2)...

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  10. Find the equation of the plane through three non-collinear points: (2,...

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  11. Find the equation of the plane through three non-collinear points: (2,...

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  12. Find the equation of the plane throught he points (3,-2,4), (-13,17,-1...

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  13. Find the equations of the planes passing through the following points ...

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  14. Find the vector equations of the plane passing through the points R(2...

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  15. Find the distance between the points : (2,1,0), (1,1,2).

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  16. Find the distance between the point P(6,5,9) and the plane determined ...

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  17. Find the distance between the point (7,2,4) and the plane determined b...

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  18. Find the equation of the plane through the points (2,-3,-1) and (5,2,-...

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  19. Find the vector equation of the plane throught the points (2,1,-1) and...

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  20. Find the equation of the plane through the point (0,0,0) and (3,-1,2) ...

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