3. (.J 6) For two vectors u = [1,0,0]" and v = [1,1, 1]", find a third vector with unit length such that the parallelepiped (ij* ) formed with the three vectors as its adjacent three edges would have the maximum volume. (Note: such vectors may not be unique. You just need to find one and justify your answer.)

3. (.J 6) For two vectors u = [1,0,0]" and v = [1,1, 1]", find a third vector with unit length such that the parallelepiped (ij* ) formed with the three vectors as its adjacent three edges would have the maximum volume. (Note: such vectors may not be unique. You just need to find one and justify your answer.)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 20CM

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