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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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a) (3 pts) For the spheres ||x - <0, 4, 0>|| = 5 and ||x -<2, 3, 1 || = 3, give an equation for each sphere in vector notation but without the norm. Simplification is not needed for this part. b) (3 pts.) Find the radical plane of the spheres of part a). Do this calculation with vector algebra and give the answer in vector notation with simplification. c) (4 pts.) Given the three radical planes below that arose in a GPS problem (not related to the spheres of part a) of the sort we studied, find where they intersect. 2x dot <1, -3, -2>= 0 2x dot <-2, -2, 1>= 4 2x dot <-1, -3, 0>=4

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