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Find the equation of the plane which contains the line of intersection of the planes `vecr.(hati+2hatj+3hatk)-4=0` and `vecr.(2hati+hatj-hatk)+5=0` and which is perpendicular to the plane `vecr.(5hati+3hatj-6hatk)+8=0`

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Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+hatj+hatk)=1 and vecr.(2hati+3hatj-hatk)+4=0 and parallel to x axis.

The angle between hati and line of the intersection of the plane vecr.(hati+2hatj+3hatk)=0andvecr.(3hati+3hatj+hatk)=0 is

A unit vector parallel to the intersection of the planes vecr.(hati-hatj+hatk)=5 andvecr.(2hati+hatj-3hatk)=4 is

Find the equation of the plane passing through the intersection of the planes vecr.(hati+hatj+k)=0 and vecr(2hati-3hatj+5hatk)=2 and the point (-1, 2, 1).

Find the equation of the plane passing through the line of intersection of the plane vecr*(2hati+3hatj-4hatk)+1=0 and vecr*(hati-hatj+3hatk) =3 and through the point (1, 1, -1).

Find the vector equation of the plane pass ing through the intersection of the planes vecr.(hati+hatj+hatk)=6 and vecr.(2hati+3hatj+4hatk)=-5 , and the point (1,1,1).

Find the vector equation of the plane passing through the intesection of the planes vecr.(2hati+2hatj-3hatk)=7, vecr.(2hati+5hatj+3hatk)=9 and through the point (2,1,3).

Find the vector equation of the plane passing through the intersection of the two planes vecr(hati+hatj+hatk)=6 and vecr(2hati+3hatj+4hatk)=-5 and through the point (1,1,1)

Find the distance between the parallel planes vecr.(2hati-hatj-2hatk)=6 and vecr.(6hati-3hatj-6hatk)=27

Find the distance between the planes vecr*(hati-2hatj-2hatk)=7 and vecr*(5hati-10hatj-10hatk)=15.

NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Ncert Miscellaneous Exercise
  1. If l1,m1,n1 and l2,m2,n2 are the direction cosines of two mutually per...

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  2. Find the angle between the lines whose direction ratios are a,b,c and ...

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  3. Find the equation of a line parallel to x-axis and passing through the...

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  4. If the coordinates of the points A,B,C,D be (1,2,3),(4,5,7),(-4,3,-6) ...

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  5. If the lines (x-1)/(-3) =(y-2)/(2k) =(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z...

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  6. Find the vector equation of the line passing through (1,2,3) and perpe...

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  7. Find the equation of the plane passing through (a,b,c) are parallel to...

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  8. Find the shortest distance between the lines vecr=6hati+2hatj+2hatk+la...

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  9. Find the coordinates of the point where the line through (5,1,6) and (...

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  10. Find the coordinates of the point where the line through (5,1,6) and (...

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  11. Find the coordinates of the point where the line through (3,-4,-5) and...

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  12. Find the vector and cartesian equations of the plane passing through t...

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  13. If the points (1,1,p) and (-3,0,1) are equidistant from the plane vecr...

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  14. Find the equation of the plane passing through the line of intersectio...

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  15. If O is the origin and the coordinates of P be (1,2,-3) , then find th...

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

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  17. Find the angle between the line vecr=(2hati+2hatj+hatk)+lambda(2hati-3...

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  18. Find the vector equation of the line passing through (1,2,3) and paral...

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  19. If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then...

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  20. The planes 2x -y+4z=5 and 5x-2.5y+10z=6 are

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