CE30-Lecture2 - Lecture 2 Vector Algebra What is a vector?...

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Lecture 2 Vector Algebra
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What is a vector? A vector is a mathematical quantity with two characteristics: 1) magnitude: “how much”, size of vector, always a non-negative number, “length” of vector 2) Direction: orientation in space. Can you think of science quantities which are vectors in nature?
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Vectors vs. scalar quantities A scalar is a quantity which has only the characteristic of magnitude . Name some scalars in science. ..
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Prop. #1: Geometrically, a vector is represented as a ray V The initial or “tail” end The terminal or “head” end
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Prop. #2: The “length” of the ray represents magnitude and direction of A is the angle the ray makes with the +x axis +X y V magnitude θ θ = 0 o
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Prop. #3: Two vectors A and B are equal if they have the same magnitude and direction. A B This property allows us to move vectors around on our paper/blackboard without changing their properties. Not so fast !
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Prop. #4: A = -B says that vectors A and B are anti-parallel.
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This note was uploaded on 01/21/2012 for the course C 85 taught by Professor Papadopoulos during the Spring '08 term at University of California, Berkeley.

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CE30-Lecture2 - Lecture 2 Vector Algebra What is a vector?...

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