M 408C Lecture Notes - Triple Product, Parallelepiped, Cross Product

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31 Jan 2014
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Taboada (lat2278) hw08 berg (56260) Multiple-choice questions may continue on the next column or page nd all choices before answering. Determine all unit vectors v orthogonal to a = 4 i + j 3k, b = 14 i + 3 j 12 k : v = (cid:16)6 k(cid:17) 7: v = , v = (cid:16)3, v = 3 i + 6 j 2 k i j + 7 k: v = 6 i + 3 j + 2 k. 7: v = j + i + Determine the length of the cross product of a, b when |a| = 7, |b| = 2 and the angle between a, b is /4. Find a vector v orthogonal to the plane through the points. P (4, 0, 0), q(0, 3, 0), r(0, 0, 5) . Q: v = h15, 4, 12i, v = h3, 20, 12i, v = h15, 20, 12i, v = h5, 20, 12i, v = h15, 5, 12i.