Let the four compass directions north, east, south, and
Chapter 11, Problem 4(choose chapter or problem)
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 as u^ and d^ . Let us also identify unit vectors that are halfway between these directions such as ne for northeast. Rank the magnitudes of the following cross products from 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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