Condition of coplanarity of two lines and equation of the plane containing them

Condition for Perpendicularity of two lines.

Show that the lines (x-3)/2=(y+1)/(-3)=(z+2)/1 and (x-7)/(-3)=y/1=(z+7)/2 are coplanar. Also find the equation of the plane containing them.

Show that the lines (x-3)/2=(y+1)/(-3)=(z+2)/1 and (x-7)/(-3)=y/1=(z+7)/2 are coplanar. Also find the equation of the plane containing them.

Show that the lines (x+1)/(-3)=(y-3)/2=(z+2)/1\ a n d\ x/1=(y-7)/(-3)=(z+7)/2 are coplanar. Also, find the equation of the plane containing them.

Show that the lines (x+1)/(-3)=(y-3)/(2)=(z+2)/(1)and(x)/(1)=(y-7)/(-3)=(z+7)/(2) are coplanar. Also, find the equation of the plane containing them.

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

Show that the four points A(1,-1,1), B(2,3,1),C(1,2,3) and D(0,-2,3) are coplanar. Find the equation of the plane containing them.

Show that the four points A(0,-1,0), B(2,1,-1), C(1,1,1) and D(3,3,0) are coplanar. Find the equation of the plane containing them.

Show that the four points A(3,2,-5, B(-1,4,-3), C(-3,8,-5) and D(-3,2,1) are coplanar. Find the equation of the plane containing them.

Find the value of lambda, so that the lines (x-1)/(1)=(y-2)/(2)=(z+lambda)/(3) and (x+1)/(2)=(y-1)/(3)=(z-3)/(1) are coplanar Also find the equation of the plane containing them.