Do the lines `(x+3)/(-4)=(y-4)/1=(z+1)/7 and (x+1)/(-3)=(y-1)/2=(z+10)/8` intersect? If so find the 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 the their point of intersection.

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

If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)/(2)=(z-5)/(1) intersect then

A line with cosines proportional to 2,7-5 drawn to intersect the lines (x-5)/3=(y-7)/-1=(z+2)/1 ; (x+3)/-3=(y-3)/2=(z-6)/4 .Find the co- ordinates of the points of intersection and the length intercepted on it.

If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersect, then find the value of k .

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.

If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect, then find the value of kdot