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

Show that the lines `(x-1)/3=(y+1)/2=(z-1)/5a n d(x+2)/4=(y-1)/3=(z+1)/(-2)` do not intersect.

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To show that the lines \[ \frac{x-1}{3} = \frac{y+1}{2} = \frac{z-1}{5} \] and ...
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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 each other.

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

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

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

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

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

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

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

Show that the line (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2) intersect. Find their point of intersection.

RD SHARMA-STRAIGHT LINE IN SPACE -Solved Examples And Exercises
  1. 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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  2. Find the direction cosines of teh line (x-2)/2=(2y-5)/(-3),z=-1. Also,...

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  3. 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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  4. Find the equations of the two lines through the origin which inters...

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

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

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

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

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

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

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

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

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

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  14. Find the vector equation of a line passing through the point with p...

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  15. Find the vector equation of the line passing through the point (2,-...

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  16. Find the equation of the line passing through the point (1,-1,1) an...

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  17. Find the equation of the line passing through the point hat i+ ha...

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  18. Find the equation of a line passing through (1,-1,0) and parallel to t...

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  19. Vertices Ba n dC of A B C lie along the line (x+2)/2=(y-1)/1=(z-0)/4 ...

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  20. Find the distance from the point P(3,8,1) to the line (x-3)/3=(y+7)/(...

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