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Find the shortest distance between the lines `(x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5` .

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To find the shortest distance between the two lines given by the equations: 1. \((x-1)/2 = (y-2)/3 = (z-3)/4\) 2. \((x-2)/3 = (y-4)/4 = (z-5)/5\) we can follow these steps: ### Step 1: Identify Points and Direction Ratios ...
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RD SHARMA-STRAIGHT LINE IN SPACE -Solved Examples And Exercises
  1. Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a ...

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  2. If the points A(-1,3,2),B(-4,2,-2)a n dC(5,5,lambda) are collinear, fi...

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  3. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

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  4. Find the length of the perpendicular from the point (1,2,3) to the ...

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  5. Find the vector equation of a line which passes through the point w...

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  6. Find the vector equation of the line through A(3,4,-7)a n dB(1,-1,6)do...

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  7. Find the vector equation of a line passing through a point with pos...

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  8. vec A B=3 hat i- hat j+ hat ka n d vec C D=-3 hat i+2 hat j+4 hat k ar...

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  9. Find the direction cosines of teh line (x-2)/2=(2y-5)/(-3),z=-1. Also,...

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  10. Show that the lines (x-1)/3=(y+1)/2=(z-1)/5a n d(x+2)/4=(y-1)/3=(z+1)/...

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  11. Find the equations of the two lines through the origin which inters...

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  12. Find the vector of a line passing through (2,-1,1) and parallel to the...

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  13. The Cartesian equations of a line are x=a y+b ,z=c y+ddot Find its dir...

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  14. By computing the shortest distance determine whether the following p...

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  15. Find the proof of perpendicular from the point (2,3,4) to the line (4-...

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  16. Find the image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3 . ...

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  17. Show that the distance d from point P to the line l having equation v...

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  18. Find the angle between two lines whose direction ratios are proport...

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  19. Find the angle between the lines (x-2)/3=(y+1)/(-2),z=2 " " "and" " " ...

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  20. Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda...

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