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Consider the planes 2x + 2y + 4z = 1 and 2x + 4z = 0. (A) Find the unique point P on the y-axis

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Consider the planes 2x + 2y + 4z = 1 and 2x + 4z = 0. (A) Find the unique point P on the y-axis which is on both planes. 0 0 (B) Find a unit vector u with positive first coordinate that is parallel to both planes. i + 0 + k (C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes. r(t) = i + + k

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