We are given points A(0, 2, 3) and B(2, 7, 5).(a) Find the equation (in vector form) of the line l that contains points A and B.(b) For which values x,z ∈ R the point P(x,4,z) lies on l.(c) Find the intersection of the line l and the plane Π that is given by −2x+3y−z=6.−→ −→(d) Compute the area of the parallelogram, determined by vectors 0A and 0B. We are given points A(0, 2, 3) and B(2, 7, 5).(a) Find the equation (in vector form) of the line & that contains points A and B.(b) For which values x, z E R the point P(x, 4, z) lies on l.(c) Find the intersection of the line & and the plane II that is given by-2x + 3y - z = 6.(d) Compute the area of the parallelogram, determined by vectors 0Å and 0B.

We have to find the vector equation of a line.

We are given points A(0, 2, 3) and B(2, 7, 5). (a) Find the equation (in vector form) of the line & that contains points A and B. (b) For which values x, z E R the point P(x, 4, z) lies on l. (c) Find the intersection of the line & and the plane II that is given by -2x + 3y - z = 6. (d) Compute the area of the parallelogram, determined by vectors 0Å and 0B.