Lecture 5 Jan 30 - Lecture 5 Vector Algebra Motivation...

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Physics 102 Lecture 5 Slide 1 Department of Physics, University of Arizona Lecture 5: Vector Algebra Motivation: Objectives: Learn how to perform algebraic operations with vectors and scalars Analyze word problems in 2D motion and convert them to vector operations Relevant to motion containing arbitrary changes in direction Building mathematical foundation for the study of 2D and 3D motion
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Physics 102 Lecture 5 Slide 2 Department of Physics, University of Arizona Equality of two vectors Magnitude & Direction perspective A A x A y Component perspective B θ |B| A θ |A| B A B A B A θ θ = = = and B B x B y y y x x B A B A B A = = = and If A = B , then the two vectors must have the same magnitude and point along the same direction. If A = B , then each component of A must equal the corresponding component of B
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Physics 102 Lecture 5 Slide 3 Department of Physics, University of Arizona Negative of a vector Magnitude & Direction perspective A A x A y Component perspective A θ |A| ° + = = - = 180 and A B A
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