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Section 11.2 Space Coordinates and Vectors in Space.

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Presentation on theme: "Section 11.2 Space Coordinates and Vectors in Space."— Presentation transcript:

1 Section 11.2 Space Coordinates and Vectors in Space

2 Next, we want to extend the ideas of vectors into three dimensions Before we can do that, though, we need to be able to identify points in three-space.

3 In this text we use the Right-handed system.

4 common formulas that extend easily to 3-D Distance formula Midpoint formula Equation of a 3-D circle (AKA a sphere)

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6 Definition of Parallel Vectors Two nonzero vectors are parallel if they are scalar multiples of each other. In other words, to get one vector, you can multiply the other by a constant.

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9 Alternate form of the dot product


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