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 z, z € R the point P(x, 4, 2) 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 OÅ and OB.

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