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Area of the Parallelogram

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One can show that the k-dimensional volume V_k of the parallelopiped generated by the vectors a_1,..,a_k in R^n is given by V_k=square root of (det A^TA), where A=(a_1|â?¦|a_k)_nxk. Use this information to compute the area of the parallelogram generated by a_1=(1,0,1,0,1) and a_2=(1,1,1,1,1) in R^5.

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Solution Summary

The solution determines the area of the parallelogram.

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