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Another way to approach the linear combination is to look at it geometrically. This is where the idea of barycentric coordinates can help. A barycentric coordinate system describes the location of a point as the weighted sum of the regular coordinates of the vertices forming a simplex. In other words, it describes a linear combination with respect to a set of points, where in -dimensional space.
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"We've also got these big tanks full of oxygen and nitrogen, which are mixed to make air, and also water, so that we can provide everything that the astronauts need in the crew module to keep them alive on their journey."
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