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Exercise 4.1.12

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A coordinate system ${u = (a, b), v = (c, d)}$ is right-handed means $u^{'} \cdot v > 0$ where the vector $u^{'} = (- b, a)$ is obtained by rotating the vector $u$ in a counterclockwise direction through an angle $\frac{π}{2}$ . With the fact $u^{'} \cdot v = ad - bc = \det (\begin{matrix} u \\ v \end{matrix})$ we get the conclusion.

jephianlin

2011-06-27 00:00

Exercise 4.1.12

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