Let P(3, 2, -5) and Q(5, -2, -1) be two points in three-dimensional space. (a) Find the distance between P and Q. 6 (b) Find an equation for the sphere whose center is P and for which the segment PQ is a radius of the sphere. (Let x, y, and z denote the standard coordinate variables.) (c) The vector u has initial point P and terminal point Q. Express u both in component form and using the vectors i, j, and k. component form 2, -4, 4 i, j, and k form u = 2i - 4j + 4k
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