Question #155353
  1. Prove that the area of a parallelogram with sides A and B is |A×B|. 
1
Expert's answer
2021-01-15T05:14:11-0500

By defenitionA×B=ABsinα,|A×B|=ABsin\alpha,

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



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