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

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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 .

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Find the shortest distance between given lines. (x-1)/1=(y-2)/-1=(z-1)/1 and (x-2)/2=(y+1)/1=(z+1)/2 .

Find the magnitude of the shortest distance between the lines (x)/(2)=(y)/(-3)=(z)/(1) and (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) .

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equations the lines joining the following pair of vertices : ...

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

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

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

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

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

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

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

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

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

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  11. Find the cartesian equations of the following planes: vecr*(3hati+3hat...

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  12. Find the cartesian equations of the following planes: vecr*(2hati+3hat...

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  13. Find the Cartesian equation of the following plane: vecr cdot [(s-2t)h...

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  14. What are the direction cosines of the normal to the plane 3x+2y-3z=8?

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  15. Find the direction cosine of the perpendicular from origin to plane ve...

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

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  17. Find the distance of the points (2,3,4) from the plane vec(R)*(3hat(i)...

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  18. Find the distance of a point (2,5,-3) from the plane vec(R)*(6hat(i)-3...

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  19. Find the distance from (1,2,3) to the plane 2x+3y-z+2=0

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  20. Find the length of the perpendicular drawn from the origin to the plan...

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