# Work + Vectors + Dot Product

(Every direction is a vector)
Let represent the direction horizontally north, 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)
(b)
(c) N * S
(d) N * E
(e) SE * S

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