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# Chapter3 - Chapter 3 Review of properties of vectors A...

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Chapter 3 Review of properties of vectors A vector is a quantity with Magnitude and Direction

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Figure 3-2 A Walk Along City Streets to the Library
Figure 3-4 A Vector and Its Scalar Components ( 29 ( 29 ( 29 ( 29 [ ] 2 2 2 2 2 2 sin cos cos sin r r r r r r r r y x x y = + = + = = θ θ θ θ

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Example 3-1 Determining the Height of a Cliff
Figure 3-5 A Vector Whose x and y Components Are Positive

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Figure 3-6ab Examples of Vectors with Components of Different Signs
Figure 3-6cd Examples of Vectors with Components of Different Signs

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Figure 3-7 Vector Angle Most often, the angle to the “x” axis will be given.
Figure 3-8 The Sum of Two Vectors

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Physlet Exploration 3.5 addition of vectors

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Figure 3-10 Identical Vectors A at Different Locations
Figure 3-11 A + B = B + A NOTE: A vector does not have a specific “origin” in space.

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Figure 3-13a Component Addition of Vectors
Figure 3-14 Vector Subtraction D B A = -

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Figure 3-15 Unit Vectors 1 ˆ 1 ˆ = = x y 2 2 2 ˆ ˆ y x y x A A A y A x A A + = + =
Figure 3-19 Displacement Vector r r r i f + =

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