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Vector Addition Chapter 3 – Part 1. Vectors represent magnitude and direction Vectors vs. scalars? Vectors can be added graphically A student walks from.

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Presentation on theme: "Vector Addition Chapter 3 – Part 1. Vectors represent magnitude and direction Vectors vs. scalars? Vectors can be added graphically A student walks from."— Presentation transcript:

1 Vector Addition Chapter 3 – Part 1

2 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.

3 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.

4 Vectors can be manipulated graphically To add vectors - pythagorean theorem Vector resolution – use trig functions

5 The Pythagorean Theorem Use the Pythagorean theorem to find the magnitude of the resultant vector.

6 Trigonometric Functions Use trig functions to find the magnitude of any vector.

7 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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