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1 10. Describe the set of points in space that satisfy these equations or inequalities: 0 s
xs1,05ys1,andOst1. Describe the set of points in space that satisfy these equations or inequalities: x 2 + y2 + z 2 S 9
Find the equation of the sphere with center at (3, 1, 2) and radius of 5. Find the equation of the sphere whose diameter is the segment joining the points
(3,5, -3) and (7, 3, 1). Given the vectors a = i + j + k and b = j — k, find a) 2a + b, b) 3a — 4b,
c) a - b, d) Ia — bl, and e) the direction of a. Given the vectors a = 2i —j and b = i — 3k, find a) 2a + b, b) 3a — 4b,
c) a - b, d) la — bl, and e) the direction of a. Determine whether the vectors a = 4i — 2] + 6k and b = 6i — 3] + 9k are parallel,
perpendicular, or neither. Determine whether the vectors a = 12i — 20] + 16k and b = - 9i + 15] — 12k are
parallel, perpendicular, or neither. Find (to the nearest degree) the three angles of the triangle with vertices at
A(1, 1, 1), B(3, -2, 3), and C(3, 4, 6). Find the vector proja bifa =2i+10j—11kand b=2i +2] + k.

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