Transcription of Chapter 3 - Vectors
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Chapter 3 - Vectors I. Definition II. Arithmetic operations involving Vectors A) Addition and subtraction - Graphical method - Analytical method vector components B) Multiplication Review of angle reference system 90 . 0 < 1<90 . 90 < 2<180 . 2. 1 0 . 180 Origin of angle reference system 3. 4. 180 < 3<270 . 270 < 4<360 . 270 . Angle origin 4=300 =-60 . I. Definition vector quantity: quantity with a magnitude and a direction. It can be represented by a vector . Examples: displacement, velocity, acceleration. Same displacement Displacement does not describe the object's path. Scalar quantity: quantity with magnitude, no direction. Examples: temperature, pressure II. Arithmetic operations involving Vectors .
iˆ, jˆ,kˆ unit vectors in positive direction of x,y,z axes a a iˆ a ˆj (3.6) x y Vector component-Analytical method: adding vectors by components. Vector addition: r a …
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