Consider unit vectors v\,..., vn in R" such that the angle between J, and Vj is 60 for

Chapter 8, Problem 18

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Consider unit vectors v\,..., vn in R" such that the angle between J, and Vj is 60 for all / ^ 7. Find the ^-volume of the h-parallelepiped spanned by V[y..., vn. {Hint: Let A = [Dj vn ], and think about the matrix AT A and its determinant. Exercise 17 is useful.)

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