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Write the vector equation of the followi...

Write the vector equation of the following lines and hence find distance between them `(x-1)/(2)=(y-2)/(3)=(z+4)/(6),(x-3)/(4)=(y-3)/(6)=(z+5)/(12)`

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Find the angle between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-4)/(4)=(z-5)/(5)

Find shortest distance between lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-4)/4=(z-5)/5

Find the angle between the lines (x-3)/2=(y-5)/3=(z+5)/4 and (x+3)/1=(y-4)/2=(z-5)/1 .

Find the angle between the following lines (x+1)/(1)=(y-4)/(1)=(z-5)/(2) and (x+3)/(3)=(y-2)/(5)=(z+5)/(4)

Find the shortest distance between the lines : (x+1)/5=(y+1)/-6=(z+1)/2 and (x-3)/4=(y-5)/-2=(z-7)/1 .

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the general solution of the following (e^x+1)dy=y(e^x)dx

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  2. Show that the lines (x-1)/23=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)...

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  3. Write the vector equation of the following lines and hence find distan...

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

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  5. Find the unit vector perpendicular to the plane vecr.(6hati+3hatj-2hat...

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  6. Find the cartesian equation of the following planes: vecr.(hati+hatj+h...

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  7. Find the cartesian equation of the following planes: vecr.(2hati-3hatj...

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  8. Find the equations of the line passing through the point (1,-1,2) and...

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  9. Find the equation of the line passing through the point with position ...

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  10. Find the general solution of the following (1+logx)xdy=ydx

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  11. Find the equation of the plane passing through the point (3,-3, 1) and...

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  12. Find the equation of a plane which bisects perpendicularly the line se...

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  13. Find the equation of the plane through the point (1,4,-2) and parallel...

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  14. If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at...

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  15. Find the equation of the plane through (1,5,-2) and parallel to the pl...

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  16. The position vectors of two points A and B are 3 hati+hatj+2hatk and h...

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

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  18. Find the vector equation of the line through the origin, which is perp...

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  19. The vector equation of a plane is vecr.(2hati+2hatj-hatk)=21, find the...

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

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