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Published byRodney Quinn Modified over 9 years ago
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Vector Addition Chapter 3 – Part 1
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Vectors represent magnitude and direction Vectors vs. scalars? Vectors can be added graphically A student walks from his house to his friend’s house (a), then from his friend’s house to the school (b). The student’s resultant displacement (c) can be found by using a ruler and a protractor.
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Vectors represent magnitude and direction To add vectors – draw “tip to tail” (these are the component vectors) Resultant vector is sum (think “as the crow flies” A student walks from his house to his friend’s house (a), then from his friend’s house to the school (b). The student’s resultant displacement (c) can be found by using a ruler and a protractor.
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Vectors can be manipulated graphically To add vectors - pythagorean theorem Vector resolution – use trig functions
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The Pythagorean Theorem Use the Pythagorean theorem to find the magnitude of the resultant vector.
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Trigonometric Functions Use trig functions to find the magnitude of any vector.
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Resolving Vectors into Components Consider an airplane flying at 95 km/h. Hypotenuse = resultant vector Adjacent leg = x component Opposite leg = y component
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