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.

Prove that the lines (x-2)/1=(y-4)/4=(z-6)/7 and (x+1)/3=(y+3)/5=(z+5)/3 are coplanar. Also find the equation of the plane containing these lines.

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)/(7) are coplanar. Also find the equation of plane in which these lines lie.

Prove that the lines x/1=(y-2)/2=(z+3)/3 and (x-2)/2=(y-6)/3=(z-3)/4 are coplanar. Also find the equation of the plane containing these lines.

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)/(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)/(1)=(y-4)/(3)=(z-6)/(5) intersect.Also find the their point of intersection.

Prove that the lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7) and (x-2)/(1)=(y-4)/(4)=(z-6)/(7) are coplanar. Also, find the plane containing these two lines

Line (x-1)/2= (y-2)/3=(z-3)/4 intersects the plane 3x+6y+5z = 0 in the point A . Then the direction ratios of the line OA are