ch 01 Introduction and Mathematical Concepts

ch 01 Introduction and Mathematical Concepts - Chapter 1...

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Chapter 1 Introduction and Mathematical Concepts y y ( x,y ) ( x , y ) Q(-3,4) r y P(5,3) 0 x x 0 x i.e. A scalar quantity is completely specified by a number with appropriate units , such as : m , g/m 3 , …etc. The magnitude of a vector has physical units , such as : m , m/s ,… etc. Usually denoted by boldface letters: A , B , …etc or as A . Magnitude of A is written as A or A . Scalar and Vector Quantities Coordinate systems and frames of reference A scalar quantity has only magnitude and no direction A vector quantity has both magnitude and direction x = r cos , y = r sin , tan = y / x The plane polar coordinates are represented by the distance r and the angle , where is measured counterclockwise from the positive x axis . Designation of points in a cartesian coordi- nate system . Every point is labeled with coordinates ( x,y ) .
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These vectors are all equal since they have equal length and point in the same direction. When vector A is added to vector B , the resultant R is the vector that runs from the tail of A to the
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ch 01 Introduction and Mathematical Concepts - Chapter 1...

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