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I'm trying to define an axis as a set of 3 unit vectors--u, v, and w. at a given point P

Suppose we are given the following vector u. From this vector u, we must define a plane such that u is normal to the plane. This plane will be represented by two perpendicular vectors v and w.

There are infinite many solutions to this problem; however, I am writing a computer program to do this, so step by step algorithm is needed. I know that once we find v, w will be the cross product of u and v.

My problem is to find v.

Any suggestions?

-Matt =)

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# Defining an Arbitrary Axis

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