Imagine three unit spheres (radius equal to 1) with centers at O(0, 0, 0), P(3, -1, 0),

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Imagine three unit spheres (radius equal to 1) with centers at O(0, 0, 0), P(√3, -1, 0), and Q(√3, 1, 0). Now place another unit sphere symmetrically on top of these spheres with its center at R (see figure).

a. Find the coordinates of R. The distance between the centers of any two spheres is 2.

b. Let r_IJ be the vector from the center of sphere I to the center of sphere J. Find r_OP, r_OQ, r_PQ, r_OR, and r_PR.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 13, 2019 07:50 AM

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Imagine three unit spheres (radius equal to 1) with centers at O(0, 0, 0), P(3, -1, 0),

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P•

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a Let the coordinates of R be x y z By symmetry w...View the full answer

Calculus Early Transcendentals

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