# lec3 - 3.7 Significant Figures Details on the web I am not...

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3.7 Significant Figures • Details on the web. I am not too picky, as long as you are sensible. Exception: formal lab report. • The rule for addition and subtraction is different than the rule for multiplication and division • For adding and subtracting, the number of decimal places is the important consideration • For multiplying and dividing, the number of significant figures is the important consideration 19

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3.7 Scalars and Vectors-at warp speed •A scalar quantity is completely… – Specified by a single value (number) with an appropriate unit (magnitude) – Can either be positive or negative –Has no direction . Speed is an example of a scalar quantity – Remember speed is always positive 3
3.7 Scalars and Vectors From last time: •A vector quantity is completely described by a number , appropriate units , and a direction . Vector nature of a quantity is always dependent on a coordinate system . You define the coordinate system (problem dependent) – A simple + or - sign will do for vector direction in a 1-D problem. 4

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3.7 Scalars and Vectors: Adding formality y Unit Vector y A vector that specifies both the unit of measure and the direction of a reference axis. y Here unit vector is represented as an arrow… y Length of one unit y Pointing in the positive x-direction y Some common conventions y x -axis: i y y -axis: j y z -axis: k y(m) 5
3.7 Scalars and Vectors • Multiply a unit vector by a scalar quantity… • You get a vector quantity 6

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3.7 Scalars and Vectors Position Vector Final position vector Initial position vector Remember how position 7
3.7 Scalars and Vectors

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lec3 - 3.7 Significant Figures Details on the web I am not...

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