Let

Find some vector in such that

Let . Then we have

From these equations we have

Letting we then have and . Thus, is a solution.

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#
Stumbling Robot

A Fraction of a Dot
#
Find a nonzero vector satisfying a requested property

Let

Find some vector in such that

Let . Then we have

From these equations we have

Letting we then have and . Thus, is a solution.