Work + Vectors + Dot Product

(Every direction is a vector) Let  "N hat" represent the direction horizontally north,  "N E hat"represent northeast (halfway between north and east), and so on. Each direction specification can be thought of as a unit vector. Rank from the largest to the smallest the following dot products. Note that zero is larger than a negative number. If two quantities are equal, display that fact in your ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (a)  "N hat dot N hat" (b)  "N hat dot N E hat" (c) N * S (d) N * E (e) SE * S
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