### Projection onto Linearly Dependent Vectors

Now consider another example:*linearly independent*. In general, a set of vectors is linearly independent if none of them can be expressed as a linear combination of the others in the set. What this means intuitively is that they must ``point in different directions'' in -space. In this example so that they lie along the

*same line*in -space. As a result, they are linearly

*dependent*: one is a linear combination of the other ( ).

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Projection onto Non-Orthogonal Vectors

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Changing Coordinates