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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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Given:
`frac{x+1}{3}=frac{y+3}{5}=frac{z+5}{7}=lambda`( { say })
`x=3 lambda-1, y=5 lambda-3` and ` z=7 lambda-5`
So, the coordinates of a general point on this line are `(3 lambda-1,5 lambda-3,7 lambda-5)`.
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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)/(4)=(y-1)/(3)=(z+1)/(-2) do not intersect.

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.

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