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Find an equation of a sphere with the given radius r and center C. (Use (x,...

Find an equation of a sphere with the given radius r and center C. (Use (x, y, z) for the coordinates.) r = 7;    C(3, −5, 2)

Find the angle between u and v, rounded to the nearest tenth degree. u = j + k,   v = i + 2j − 5k

Find the angle between u and v, rounded to the nearest tenth degree. u = i + 4j − 8k,   v = 3i − 4k

Find a vector that is perpendicular to the plane passing through the three given points. P(3, 4, 5),   Q(4, 5, 6),   R(4, 7, 6)

Find a vector that is perpendicular to the plane passing through the three given points. P(1, 1, 8),   Q(2, 2, 0),   R(0, 0, 0)

Find a vector that is perpendicular to the plane passing through the three given points. P(3, 0, 0),   Q(0, 2, −5),   R(−2, 0, 6)

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