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Find the equation of the plane through the line of intersection of ` vec r dot(2 hat i-3 hat j+4 hat k)=1a n d vec r dot( hat i- hat j)+4=0` and perpendicular to ` vec r dot(2 hat i- hat j+ hat k)+8=0.`

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Find the equation of the plane passing through the intersection of the planes vec rdot( (hat i+ hat j+ hat k)=1\ a n d\ vec rdot((2 hat i+3 hat j- hat k)+4=0 and parallel to x-axis.

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Find the equation the plane which contain the line of intersection of the planes vec rdot( hat i+2 hat j+3 hat k)-4=0a n d vec rdot(2 hat i+ hat j- hat k)+5=0 and which is perpendicular to the plane vec r(5 hat i+3 hat j-6 hat k)+8=0 .

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Find the equation of the plane which contains the line of intersection of the planes vec r . ( hat i+2 hat j+3 hat k)-4=0,\ vec r . (2 hat i+ hat j- hat k)+5=0 and which is perpendicular to the plane vec r . (5 hat i+3 hat j-6 hat k)+8=0.

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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.

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

A vector parallel to the line of intersection of the planes vec r=dot(3 hat i- hat j+ hat k)=1\ a n d\ vec rdot(( hat i+4 hat j-2 hat k)=2 is a. -2 hat i+7 hat j+13 hat k b. 2 hat i+7 hat j-13 hat k c. -2i-7j+13 k d. 2i+7j+13 k

Find the equation of the plane through the point 2 hat i+ hat j- hat k and passing through the line of intersection of the plane vec rdot(( hat i+3 hat j- hat k)=0\ a n d\ vec rdot(( hat j+2 hat k)=0.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. A variable plane is at a constant distance p from the origin and meets...

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

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

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

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

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

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

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

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

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

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

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  12. Find the vector equation of the line passing through the point (1,-1,2...

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  13. Find the vector equation of the plane passing through the intersection...

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  14. If 30 oxen can plough 1/7th of the field in 4 hrs , in how many hour w...

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  15. Find the equation of the plane through the points (1,0,-1),(3,2,2) and...

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  16. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

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  17. Show that the line whose vector equation is vec r=(2 hat i-2 hat j+3)...

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  18. Show that the line whose vector equation is vec rdot(2 hat i+5 hat j-...

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  19. Find the vector equation of the line passing through the point (1,-1,2...

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  20. Show that the line vec r= hat i+ hat j+lambda(2 hat i+ hat j+4 hat k)...

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