Are the lines `3x-2y+z+5=0=2x+3y+4z-4 and (x+4)/3=(y+6)/5=(z-1)/(-2)` coplanar. If yes find their point of intersection and equation of the plane which they lie.

Show that the lines (x+3)/(-3) = y - 1 = (z-5)/(5) and (x+1)/(-1) = (y-2)/(2) = (z-5)/(5) are coplanar. Also find 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 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.

Find the equation of a plane passing through the parallel lines (x-3)/(1) = (y+2)/(-4) = z/5 and (z-4)/(1) = (y-3)/(-4) = (z-2)/(5) are coplanar. Also find the equation of plane in which these lines lie.

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.

Show that the lines (x+3)/(-3)=y-1/1=(z-5)/5;(x+1)/(-1)=(y-2)/2=(z-5)/5 are coplanar. Also find the equation of the plane containing the lines.

The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)/(1) are coplanar, if

Find the equation of line of intersection of the planes 3x-y+ z=1 and x + 4 y -2 z =2.

Find the points of intersection of the line (x-2)/(-3)=(y-1)/2=(z-3)/2 and the plane 2x+y-z=3 .