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Plucker Coordinates

1. Let d = (1, 2, -2), m = (-8, 5, 1)
(a) Check that d and m are orthogonal.
I already check that it is orthogonal. DO NOT ANSWER THIS PART.

(b) Find a vector v such that d x v = m. In other words, find an affine point on the line with Plucker coordinates (1, 2, -2, -8, 5, 1).

2. Describe a general way to solve 1 a) above. In other words, given two orthogonal vectors, d and m, solve d x v = m.

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