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Find the cartesian equation of the follo...

Find the cartesian equation of the following planes:
`vecr.(hati+hatj+hatk)=2`

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Find cartesian equations of the plane containing the lines: vecr=2hati+hatj-3hatk+lambda(hati+2hatj+5hatk) and vecr=3hati+3hatj-7hatk+mu(3hati-2hatj+5hatk)

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the normal unit vector to the plane x+2y+3z-6=0.

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  2. Find the unit vector perpendicular to the plane vecr.(6hati+3hatj-2hat...

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  3. Find the cartesian equation of the following planes: vecr.(hati+hatj+h...

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

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  5. Find the equations of the line passing through the point (1,-1,2) and...

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  6. Find the equation of the line passing through the point with position ...

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  7. Find the general solution of the following (1+logx)xdy=ydx

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  8. Find the equation of the plane passing through the point (3,-3, 1) and...

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  9. Find the equation of a plane which bisects perpendicularly the line se...

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  10. Find the equation of the plane through the point (1,4,-2) and parallel...

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  11. If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at...

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  12. Find the equation of the plane through (1,5,-2) and parallel to the pl...

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  13. The position vectors of two points A and B are 3 hati+hatj+2hatk and h...

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  14. Find the vector equations of the line passing through the point (1,-1,...

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  15. Find the vector equation of the line through the origin, which is perp...

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  16. The vector equation of a plane is vecr.(2hati+2hatj-hatk)=21, find the...

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  17. Find the vector equation of a plane which is at a distance of 5 units ...

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

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  19. The foot of perpendicular drawn from the origin to a plane is (12,-4,-...

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  20. The foot of perpendicular drawn from the origin to a plane is (2,5,7)....

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