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Write the normal form of the equation of the plane `2x-3y+6z+14=0.`

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Find the equation of the plane passing through the intersection of the planes 2x-3y+z-4=0a n dx-y+z+1=0 and perpendicular to the plane x+2y-3z+6=0.

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The equation of the plane through the intersection of the planes x+2y+3z-4=0 and 4x+3y+2z+1=0 and passing through the origin is (a) 17x+14y+11z=0 (b) 7x+4y+z=0 (c) x+14+11z=0 (d) 17x+y+z=0

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the vector equation of a plane which is at a distance of 5 units ...

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  2. Reduce the equation 2x-3y-6z=14 to the normal form and hence fine the ...

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  3. Write the normal form of the equation of the plane 2x-3y+6z+14=0.

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  4. The direction ratios of the perpendicular from the origin to a plane ...

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  5. Find a normal vector to the plane x+2y+3z-6=0

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  6. Find the vector equation of the plane which is at a distance of 6/(sq...

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  7. Find the distance of the plane 2x 3y + 4z 6 = 0from the origin.

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  8. Find the vector equation of the plane passing thrugh the points (2,5,-...

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

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  10. Show that the planes 2x+6y-6z=7\ a n d\ 3x+4y+5z=8 are at right angles...

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

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  12. Find the angle between the plane: vec rdot((2 hat i-3 hat j+4 hat k)=...

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  13. Find the angle between the plane: vec rdot((2 hat i- hat j+2 hat k)=6...

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  14. Find the angle between the plane: vec rdot((2 hat i+3 hat j-6 hat k)=...

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  15. Find the angle between the plane: 2x-y+z=4\ a n d\ x+y+2z=3

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  16. Find the angle between the plane: x-y+z=5\ a n d\ x+2y+z=9

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  17. Find the angle between the two planes 2x + y-2z = 5and 3x- 6y-2z = 7...

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  18. Find the angle between the plane: x+y-2z=3\ a n d\ 2x-2y+z=5 .

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  19. Find the angle between the plane: 2x-3y+4z=1\ a n d-x+y=4.

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  20. Show that the following planes are at right angle: vec rdot((2 hat i-...

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