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Find the vector equation of a plane whic...

Find the vector equation of a plane which is at a distance of 5 units from the origin and which is normal to the vector ` hat i-2 hat j-2 hat kdot`

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Find the vector equation of a plane which is at a distance of 5 units from the origin and its normal vector is 2 hat i-3 hat j+6 hat kdot

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Find the vector equation of a plane at a distance of 5 units from the origin and has hat i as the unit vector normal to it.

Find the equation of plane which is at a distance 4/(sqrt(14)) from the origin and is normal to vector 2 hat i+ hat j-3 hat kdot

Find the vector equation of the plane which is at a distance of 6/(sqrt(29)) from the origin and its normal vector from the origin is 2 hat i-3 hat j+4 hat k . Also find its cartesian form.

Find the direction cosines of the vector hat i+2 hat j+3 hat kdot

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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 6 units ...

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  2. Find the vector equation of a plane which is at a distance of 3 units ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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