Find the equation of line through the points P(1, 2, 3) and Q(3, 4, 5) in Cartesian form.

Find the equation of line through the points P(2, -1, 4) and Q(6, 2, -3) in Cartesian form.

Find the equation of line through the points P(2, -1, 4) and Q(6, 2, -3) in Cartesian form.

Find the equation of line passing through the points P(-1,3,2) and Q(-4,2-2) . Also, if the point R(5,5,lambda) is collinear with the points P and Q, then find the value of lambda .

Find the equation of the line passing through the point (3,7,-4) and (1,6,-1) in both cartesian and vector from

Find the Cartesian equation of the line passing through the points (-1, 0,2) and (3,4,6)

Find the equation of plane passing through three points A(0, 1, 2), B(3, 4, -1), C(2, 4, 2) in Cartesian form.

Find the equation of plane passing through three points A(0, 1, 2), B(3, 4, -1), C(2, 4, 2) in Cartesian form.

Find the equation of the line which passes through (1,2,-4) and (4,-5,2) both in cartesian and vector form.