Find the closest point to y in the subspace W spanned by Bold v 1 and Bold v 2. yequals[Start 4 By 1 Matrix 1st Row 1st Column 3
2nd Row 1st Column negative 1 3rd Row 1st Column 1 4st Row 1st Column 13 EndMatrix ], Bold v 1equals[Start 4 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column negative 2 3rd Row 1st Column negative 1 4st Row 1st Column 2 EndMatrix ], Bold v 2equals[Start 4 By 1 Matrix 1st Row 1st Column negative 4 2nd Row 1st Column 1 3rd Row 1st Column 0 4st Row 1st Column 3 EndMatrix ]The closest point to y in W is the vector [Start 4 By 1 Matrix 1st Row 1st Column nothing 2nd Row 1st Column nothing 3rd Row 1st Column nothing 4st Row 1st Column nothing EndMatrix ].
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since we know the endpoints of the circle, we know then that distance from one to another is really the diameter, and half of that is its radius.
we can also find the midpoint of those two endpoints and we'll be landing right on the center of the circle.