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Find the distance of the point 2 hat i+ ...

Find the distance of the point `2 hat i+ hat j- hat k` from the plane ` vec r( hat i-2 hat j+4 hat k)=9` .

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Find the distance of the point (-1,-5,-10) from the point of intersection of line vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k) and the plane vec r ( hat i- hat j+ hat k)=5.

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Find the shortest distance between the lines vec r=( hat i+2 hat j+ hat k)+lambda( hat i- hat j+ hat k) and vec r=(2 hat i- hat j- hat k)+mu(2 hat i+ hat j+2 hat k)

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RD SHARMA ENGLISH-THE PLANE -All Questions
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  2. Find the distance of the point (21,0) from the plane 2x+y+2z+5=0.

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  3. Show that the points hat i- hat j+3 hat ka n d3( hat i+ hat j+ hat k)...

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  4. Find the equations of the planes parallel to the plane x-2y+2z-3=0 whi...

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  5. Find the equation of the plane which contains the line of intersection...

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  6. Find the equation of the plane passing through the intersection of ...

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  7. Find the equation of the plane passing through the intersection of the...

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  8. Find the equation of the plane passing through (a ,b ,c) and parallel ...

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  9. Two systems of rectangular axes have the same origin. If a plane cuts ...

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  10. A variable plane is at a constant distance p from the origin and meets...

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  11. Find the equation of the plane passing through the intersection of the...

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  12. Find the equation of the plane through the line of intersection of ve...

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  13. Find the equation of the plane which is perpendicular to the plane 5x+...

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  14. Find the equation of a plane through the intersection of the planes v...

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  15. Find the vector equation of the following plane in non-parametric fo...

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  16. Find the vector equation of the plane vec r=(1+s-t) hat i+(2-s) hat ...

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  17. Find the Cartesian form the equation of the plane vec r=(s-2t) hat i...

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  18. Find the vector equation of the following plane in scalar product form...

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  19. The plane x-2y+3z=0 is rotated through a right angle about the line of...

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  20. The plane l x+m y=0 is rotated through an angle alpha about its line o...

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