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Find the equation of a plane through the intersection of the planes ` vec rdot( hat i+3 hat j- hat k)=5a n d vec rdot(2 hat i- hat j+ hat k)=3` and passing through the point `(2,1,-2)dot`

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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)=\ 6,\ vec rdot\ \ (2 hat i+3 hat j+4 hat k)=\ -5 and the point (1,1,1).

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.

Find the angle between the planes vec rdot(2 hat i- hat j+ hat k)=6a n d vec rdot( hat i+ hat j+2 hat k)=5.

Find the vector equation of the plane passing through the intersection of the planes -> rdot(2 hat i+2 hat j-3 hat k)=7, -> rdot(2 hat i+5 hat j+3 hat k)=9 and through the point (2, 1, 3).

Find the vector equation of the plane passing through the intersection of the planes -> rdot( hat i+ hat j+ hat k)=6 and -> rdot(2 hat i+3 hat j+4 hat k)=-5 and the point (1, 1, 1).

Find the angle between the plane: vec rdot((2 hat i+3 hat j-6 hat k)=5\ a n d\ vec rdot(( hat i-2 hat j+2 hat k)=9.

Find the equation of the plane passing through the intersection of the planes vec r .(2 hat i+ hat j+3 hat k)=7, vec r.(2 hat i+5 hat j+3 hat k)=9 the point (2,1,3)dot

Find the angle between the plane: vec rdot((2 hat i- hat j+2 hat k)=6\ a n d\ vec rdot((3 hat i+6 hat j-2 hat k)=9.

Find the angle between the plane: vec rdot((2 hat i-3 hat j+4 hat k)=1\ a n d\ vec rdot((- hat i+ hat j)=4 .

Find the equation of the plane through the line of intersection of the planes vec rdot(( hat i+3 hat j)+6=0\ a n d\ vec rdot((3 hat i- hat j-4 hat k)=0, which is at a unit distance from the origin.

RD SHARMA ENGLISH-THE PLANE -All Questions
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  4. Find the vector equation of the following plane in non-parametric fo...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the plane passing through (4,-1,2) and parallel to the lines (x+2...

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  20. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

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