Answer to Question #155353 in Classical Mechanics for Xoxo

Classical Mechanics

Question #155353

Prove that the area of a parallelogram with sides A and B is |A×B|.

Expert's answer

By defenition"|A\u00d7B|=ABsin\\alpha,"

Area of parallelogram equals two areas of triangles "\\frac 12 AB sin \\alpha," i.e. "ABsin\\alpha," where "\\alpha" is angle befween A and B.

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