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Find the vector equation of a plane at a...

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.

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Find the vector equation of a plane which is at a distance of 3 units from the origin and has hat k as the unit vector normal to it.

Find the vector equation of a plane which is at a distance of 5 units from the origin and has -1,2,2 as the direction ratios of a normal to it.

Find the vector equation of a plane which is at a distance of 6 units from the origin and has 2, -1, 2 as the direction ratios of a normal to it. Also, find the coordinates of the foot of the normal drawn from the origin.

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

Find the vector equation of a plane which is at a distance of 7 units from the origin and normal to the vector 3 hat i+5 hat j-6 hat k .

Find the vector equation of a plane which is at a distance of 8 units from the origin and which is normal to the vector 2 hat i+ hat j+2 hat kdot

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

Find the vector equation of the plane which is at a distance of 5 unit from origin and normal vector from origin is hati + 2hatj-2hatk .

Find the vector and equation of a plane which is at a distance of 10 units from origin and normal vector from origin to this plane is 2hati-hatj+2hatk .

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.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the vector and the Cartesian equation of the plane which pases th...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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