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Find the vector and Cartesian equations of a plane passing through the point `(1, -1, 1)` and normal to theline joining the point `(1, 2, 5) and (-1, 3, 1)`.

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the vector equation of each one of following plane: x+y-z=5

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  2. Find the vector equation of each one of following plane: x+y=3

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  3. Find the vector and Cartesian equations of a plane passing through the...

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  4. If vec n is a vector of magnitude sqrt(3) and is equally inclined wit...

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  5. The coordinate of the foot of the perpendicular drawn from  the origin...

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  6. Find the equation of the plane passing through the point (2,3,1) ha...

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  7. If the axes are rectangular and P is the point (2, 3, -1), find the eq...

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  8. Find the intercepts made on the coordinate axes by the plane 2x+y-2z=3...

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  9. Find the equation of the plane that bisects the line segment joining ...

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  10. Show that the normal to the following planes are perpendicular to each...

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  11. Show that the normal to the following planes are perpendicular to each...

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  12. Show that the equation of the planes are perpendicular to each other. ...

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  13. Show that the normal vector to the plane 2x+2y+2z=3 is equally incline...

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  14. Find a vector of magnitude 26 units normal to the plane 12 x-3y+4z=1.

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  15. Find the equation of the plane which bisects the line segment joining ...

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  16. Find the vector and the Cartesian equation of the plane which pases th...

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  17. If O be the origin and the coordinates of P be(1," "2," "" "3) , th...

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  18. Find the vector equation of a plane at a distance of 5 units from the ...

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  19. Reduce the equation of the plane x-2y-2z=12 to normal form and hence f...

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  20. Find the vector equation of a plane which is at a distance of 6 units ...

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