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Show that the lines (x+1)/3=(y+3)/5=(z+5...

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.

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Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/5 intersect each other. Also 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 lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7) and x-2=(y-4)/(3)=(z-6)/(5) intersect and find 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. Also, find their point of intersection, Hint for solution : If shortest distance between two lines is zero then they are intersecting lines.

Show that the lines (x+1)/-3=(y-3)/2=(z+2)/1 and x/1=(y-7)/-3=(z+7)/2 intersect. Find the point of intersection and the equaion of the plane contianing them.

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

Show that the two lines x+1/3=y+3/5=z+5/7 and x-2/1=y-4/3=z-6/5 intersect each other. Find also the point of intersection.

Show that the two lines (x-5)/4=(y-7)/4=(z+3)/-5 and (x-8)/7=(y-4)/1=(z-5)/3 intersect each other . Find also the point of intersection.