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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 given by the equations \[ \frac{x-1}{3} = \frac{y+1}{2} = \frac{z-1}{5} \] and ...
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The lines (x-1)/(3) = (y+1)/(2) = (z-1)/(5) and x= (y-1)/(3) = (z+1)/(-2)

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-4)/(1)=(y+3)/(-4)=(z+1)/7 and (x-1)/(2) =(y+1)/(-3)=(z+10)/(8) intersect. Find the coordinates of their point of intersection.

Show that the lines x/1=(y-2)/2=(z+3)/3a n d(x-2)/2=(y-6)/3=(z-3)/4 intersect and find their point of intersection

Show that the line (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2 intersect. Find their 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. 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.

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The projection of the line (x-1)/(2)=(y+1)/(2)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/(1) , intersect , then k is equal to

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  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 the 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+d Find its direct...

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

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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. A (1, 0, 4), B (0, −11, 3), C (2, −3, 1) are three points and D is the...

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

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

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

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

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

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

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

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

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  20. 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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