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)/(-1)=(z+1)/(0) and (x-4)/(2)=(y)/(0)=(z+1)/(3) intersect and hence find the point of intersection.

Show that the lines (x-3)/(1)=(y-5)/(-2)=(z-7)/(1) and (x-1)/(7)=(y-1)/(6)=(z-1)/(7) are skew lines and find the shortest distance between them.

Show that the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(3)and(x-1)/(-3)=(y-4)/(2)=(z-5)/(1) are coplanar. Also, find the plane containing these lines.

The straight lines (x-3)/(2)=(y+5)/(4)=(z-1)/(-13)and(x+1)/(3)=(y-4)/(5)=(z+2)/(2) are

Show that the lines (x-1)/(4)=(2-y)/(6)=(z-4)/(12) and (x-3)/(-2)=(y-3)/(-2)=(5-z)/(6) are parallel.

Show that the lines (x-1)/4=(2-y)/(6)=(z-4)/(12) and (x-3)/(-2)=(y-3)/(3)=(5-z)/(6) are parallel.

Show that the lines (x-3)/(3)=(y-3)/(-1),z-1=0and(x-6)/(2)=(z-1)/(3),y-2=0 intersect. Also find the point of intersection.'

The line through of the plane passing through the lines (x-4)/(1)=(y-3)/(1)=(z-2)/(2) and (x-3)/(1)=(y-2)/(-4)=(z)/(5) is