Let the four horizontal compass directions north, east, south, and west be represented by units vectors nhatitalic , ehatitalic , shatitalic , and whatitalic , respectively. vertically up and down are represented as uhatitalic and dhatitalic . 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 the largest to the smallest. (use only "> " or "=" symbols. do not include any parentheses around the letters or symbols.)
(a) n^^\^ cross n^^\^
(b) w^^\^ cross (ne)^^\^
(c) u^^\^ cross (ne)^^\^
(d) n^^\^ cross (nw)^^\^
(e) n^^\^ cross e^^\^