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Show that the lines : (x+1)/3=(y+3)/5=(z...

Show that the lines : `(x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/5` intersect each other. Also find their point of intersection.

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Show that the two lines (x-5)/4=(y-7)/4=(z+3)/-5 and (x-8)/7=(y-4)/1=(z-5)/3 intersect each other . Find also the point of intersection.

Show that the two lines x+1/3=y+3/5=z+5/7 and x-2/1=y-4/3=z-6/5 intersect each other. Find also the point of intersection.

Show that the two lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z intersect each other . Find also the point of intersection.

Show that the lines: (x-1)/3=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)/-2 do not intersect.

Show that the lines (x-1)/23=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)/-2 do not intersect.

The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point of intersection.

Show that the lines (x+1)/-3=(y-3)/2=(z+2)/1 and x/1=(y-7)/-3=(z+7)/2 intersect. Find the point of intersection and the equaion of the plane contianing them.

Show that the lines : (x-3)/2=(y+1)/-3=(z-2)/4 and (x+2)/2=(y-4)/4=(z+5)/2 are perpendicular to each other.

Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5)/5 are coplanar. Also find the equation of the plane containing the lines.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. How many cubic feet are there in a room measuring 5m x 10m x 2m?

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

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  3. Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...

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  4. Show that the lines : vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) ...

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  5. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

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

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  7. Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...

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

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  9. Show that the following lines are coplanar (5-x)/-4=(y-7)/-4=(z+3)/-5 ...

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

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  11. Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...

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  12. Find the equations the lines joining the following pair of vertices : ...

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  13. Find the equations the lines joining the following pair of vertices: (...

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  14. Find the shortest distance between the lines ((x+1)/7=(y+1)/-6=(z+1)/1...

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  15. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

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  16. Find the equation of the plane with the intercept 5 on the y axis and ...

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  17. Find the equation of the plane with intercept 4 on the z axis and para...

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  18. Find the vector equation of a plane, which is at a distance of 7 uits ...

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

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  20. Find the vector equation of the plane whose cartesian form of equation...

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