Question: (a) Find a vector parallel to the line of intersection of the planes - z + 5y - z = 5 and 4x - 3y

(a) Find a vector parallel to the line of intersection of the planes - z + 5y - z = 5 and 4x - 3y + 5z = -2. U = (b) Show that the point (-1, 1, 1) lies on both planes. Then find a vector parametric equation for the line of intersection. T (t ) = Find an equation of the plane orthogonal to the line (I, y, z) = (7, 6, 10) + t(-5, -5, 2) which passes through the point (6, 10, 7) Give your answer in the form ar + by + cz = d (with a = 5). a = b= C= d=

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