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^^\^

Fill in the blank. the number of each type of element in the compound (other than 1) is represented by a small number to the right of the element symbol.

Use the frequency histogram to complete the following parts. ​(a) identify the class with the​ greatest, and the class with the​ least, relative frequency. ​(b) estimate the greatest and least relative frequencies. ​(c) describe any patterns with the data. female fibula lengths 30.5 31.5 32.5 33.5 34.5 35.5 36.5 37.5 38.5 39.5 0 0.05 0.1 0.15 0.2 0.25 length (in centimeters) relative frequency a histogram titled "female fibula lengths" has a horizontal axis labeled "length in centimeters" from 30.5 to 39.5 in increments of 1 and a vertical axis labeled "relative frequency" from 0 to 0.25 in increments of 0.05. the histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. the approximate heights of the vertical bars are listed as follows, where the label is listed first and the approximate height is listed second: 30.5, 0.02; 31.5, 0.04; 32.5, 0.05; 33.5, 0.13; 34.5, 0.22; 35.5, 0.25; 36.5, 0.13; 37.5, 0.06; 38.5, 0.09; 39.5, 0.01. ​(a) the class with the greatest relative frequency is nothing to nothing centimeters. ​(type integers or decimals. do not round. use ascending​ order.)

Acid precipitation chemically weathering a 5.0-kg limestone rock . which coukd be the result ?