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 stright line (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-3)/(4)=(z-4)/(5) are coplanar and find the equation of the plane in 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.

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

Find the point of intersection of the line 2x - 4= 3y = z with plane x + y + z = 13 .

Show that the lines (x+4)/3=(y+6)/5=(z-1)/-2 and 3x-2y+z+5=0=2x+3y+4z-4 intersect. Find the equation of the plane in which they lie and also their point of intersection.

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