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Here are some questions we will address. How do we describe a line in 2 dimensions or a line or plane in 3? How can you find a point on a line or in a plane? The distance between a point and a plane, or a point and a line? The distance between two skew lines in 3D space? The distance between parallel lines? The projection of a point onto a line or plane? All of these can be answered by appropriate definition and manipulation of vectors. |
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