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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
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Figure 3-4 A Vector and Its Scalar Components
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Example 3-1 Determining the Height of a Cliff
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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
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Figure 3-6cd Examples of Vectors with Components of Different Signs
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Most often, the angle to the “x” axis will be given.
Figure 3-7 Vector Angle Most often, the angle to the “x” axis will be given.
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Figure 3-8 The Sum of Two Vectors
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Physlet Exploration 3.5 addition of vectors
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Figure 3-9 Adding Several Vectors
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Figure 3-10 Identical Vectors A at Different Locations
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NOTE: A vector does not have a specific “origin” in space.
Figure 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
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Figure 3-14 Vector Subtraction
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Figure Unit Vectors
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Figure 3-19 Displacement Vector
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Figure 3-20 Average Velocity Vector
Note: 2D NOW! Velocity is parallel to displacement.
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Figure 3-23 Average Acceleration for a Car Traveling in a Circle With Constant Speed
Note how we can move the final velocity vector to solve the problem—a vector does not have a specific location in space. This problem is easy, if we use the definition of average acceleration.
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Figure 3-22 Average Acceleration Vector
Note: position-position graph, 2D. NOT x vs. t
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How do we know what direction the acceleration points?
Figure Velocity and Acceleration Vectors for a Particle Moving Along a Winding Path How do we know what direction the acceleration points? Note: this is a “distance-distance” graph, not distance-time.
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Figure 3-25 Relative Velocity of a Passenger on a Train with Respect to a Person on the Ground
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Figure 3-27 Relative Velocity in Two Dimensions
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Example 3-2 Crossing a River
Vheading Vwater Vtrack Navigation Problem: Given desired track and speed of water, what heading should you take?
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Figure 3-30 Conceptual Question 3-2
Which of these vectors are equal?
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Which 2 vectors are equal?
H,K and F,I G,J and I,L NONE ARE EQUAL Cross-Tab Label 0 / 100
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Figure 3-36 Problems 3-28 and 3-29
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Figure Problem 3-53
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