MATH 210 Study Guide - Final Guide: Glossary Of Video Game Terms, Horse Length, Scilab
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Solution: (a) h1, 2, 3i h 2, 0, 1i = (1)( 2) + (2)(0) + (3)(1) = 1 (b) h1, 1, 3i h 2, 3, 1i = (cid:12)(cid:12)(cid:12)(cid:12)(cid:12)(cid:12) = h8, 7, 5i (c) note that the 7x + 2y 3z is missing an equal sign and a number on the right hand side of the equal sign. In any case, a vector normal to the plane is n = h7, 2, 3i . (d) the vectors normal to the planes are n 1 = h1, 1, 2i and n 2 = h 1, 1, 2i, respec- tively. The vectors are parallel because they are scalar multiples of one another. Thus, the planes are parallel to each other. (e) p q = h2 4, 1 2, 5 ( 3)i = h 2, 1, 8i = 2 + 8 k. Solution: (a) a vector perpendicular to the plane is the cross product of p q = h0, 2, 5i and.
