Mathematics, 02.09.2020 03:01, cococat7773
1. Give a geometric description of the set of points in space whose coordinates satisfy the given pair of equations. x2 + y2 = 16, z = 2 Choose the correct description. A. The circle with center (0, 0, 2) and radius 4, parallel to the xy-plane. B. The line through (4, 4, 2), parallel to the z-axis. C. The line that passes through the points (4, 0, 2) and (0, 4, 2).D. The circle with center (4, 4, 0) and radius 2, parallel to the xy-plane.2. For the points P1(-5, 3, 1) and P2(5, l, 0), find the direction of P1P2rightarrow and the midpoint of line segment P1P2. 3. Find the following for the vectors u = -5i + 4j + root7 k and v = 5i - 4 j - root7 k. a. v·u, |v|, and |u| b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector projvu v·u 4. Find a vector of magnitude 3 in the direction of v = 12i - 9 k.
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