Let the four compass directions north, east, south,and west be represented by unit

Chapter 11, Problem 4

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Let the four compass directions north, east, south,and west be represented by unit vectors n^ , e^ , s^, and w^ ,respectively. Vertically up and down are represented asu^ and d^ . Let us also identify unit vectors that are halfwaybetween these directions such as ne for northeast.Rank the magnitudes of the following cross productsfrom largest to smallest. If any are equal in magnitude or are equal to zero, show that in your ranking.(a) n^ 3 n^ (b) w^ 3 ne (c) u^ 3 ne (d) n^ 3 nw (e) n^ 3 e

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