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# 11-27-07 - Intro To Vectors

## by wjerlinger on Nov 28, 2007

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## 11-27-07 - Intro To VectorsPresentation Transcript

• VECTORS Chapter 4.1
• Scalar or Vector?
• What am I, a scalar or vector quantity?
• Scalar – only magnitude
• Vector – magnitude AND direction
• Velocity, Force, Acceleration, Displacement
• 5 mph
• 5 mph north
• 15 m/s northwest
• 1.2 N west
• 10 m/s
• Vectors Vectors have magnitude and direction. They add or subtract depending on their directions. Parallel vectors are pretty simple: 50 N 50 N = 100 N + 50 N 50 N = + 0 N What if the vectors are NOT parallel: Example: What if I walked 16 km East and 12 km North The result is a NET movement of 20 km Northeast 16 km East 12 km North 20 km Northeast Component Vectors Resultant Vector
• To work with vectors, it is important to know how to perform vector addition both graphically and analytically.
• Graphically – draw vectors to scale and measure
• Analytically – use formulas
• When 2 or more vectors act on an object, they act independently of one another.
• Their combined action will result in a net effect.
• The purpose of vector addition is to determine the net figure and direction.
• The net figure is called the “resultant.”
• The best way to determine the measurement of a resultant is mathematically, but sometimes it is necessary to draw the vectors to scale and measure the resultant with a ruler and protractor.
• Let’s look at an example…
• Let’s examine a picture of a boat crossing a river.
• The boat is moving due east at 8.0 m/s, and the river is flowing due south at 5.0 m/s.
• Find your resultant and direction