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Find the vector equation of the plane pa...

Find the vector equation of the plane passing through the points `A(a ,0,0),B(0,b ,0)a n dC(0,0,c)dot` Reduce it to normal form. If plane `A B C` is at a distance `p` from the origin, prove that `1/(p^2)=1/(a^2)+1/(b^2)+1/(c^2)dot`

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the angle between the planes vec rdot(2 hat i- hat j+ hat k)=6a ...

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

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  3. Find the vector equation of the plane passing through the points A(a ,...

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  4. Reduce the equation vec r (dot(3 hat i-4 hat j+12 hat k ))=5 to norma...

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  5. Find the vector equation of a plane which is at a distance of 8 units ...

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  6. Find the direction cosines of perpendicular from the origin to the ...

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  7. Find the coordinates of the foot of the perpendicular drawn from the ...

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  8. Find the equation of a plane which is at a distance of 3sqrt(3) units ...

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  9. Find the equation of the plane passing through the point (-1,2,1) and ...

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  10. Find the vector equation of the plane passing through the points A(2,2...

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  11. Find the equation of the plane passing through the point (1,2,1) and p...

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  12. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

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  13. Find the vector equation of the plane passing through the points havin...

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  14. Find the equation of the plane through the points P(1,\ 1,\ 0),\ Q(1,\...

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  15. Find the equation of the plane passing through the following points: (...

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  16. Find the equation of the plane passing through the following points: (...

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  17. Find the equation of the plane passing through the following points: (...

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  18. Find the equation of the plane passing through the following points: (...

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  19. Find the equation of the plane passing through the following points: (...

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  20. Show that the following points are coplanar: (0,\ -1,\ 0),\ (2,\ 1,\ -...

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