Consider the planes 1x + 5y + 3x = 1 and 1x + 3z = 0. (A) Find the unique point P on the y-axis which is on both planes. (B) Find a unit vector u with positive first coordinate that is parallel to both planes. u i+ + k (C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes. r(t) =i+j+k

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