Can the law of sines be proven using vectors?

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Can the law of sines be proven using vectors?

I know how to prove the law of cosines using dot product, but I need to use the cross product to prive the law of sines

2006-10-01 07:50:07 · 2 answers · asked by springdaletutor 1 in Science & Mathematics ➔ Mathematics

2 answers

You might want to try to prove that magnitude of the cross product is equal to the area of the parallelogram formed by the two vectors. Because the area of the parallelogram involves sine, you would have your proof.

2006-10-01 07:59:20 · answer #1 · answered by bruinfan 7 · 0⤊ 0⤋

2006-10-01 15:52:15 · answer #2 · answered by cuty 1 · 0⤊ 1⤋