Recitation_Sup._2

Recitation_Sup._2 - Vectors Recitation Presentation 2...

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Vectors Recitation Presentation 2 Andrew Kramer
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Goals Understand how a vector components are related to trigonometry Learn how to find a vector’s magnitude Learn how to add vectors
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Vectors Vectors are mathematical objects that specify a magnitude and a direction For this class, they can be thought of as arrows In two dimensions they protrude in the x and y direction, the x-component and y-component respectively
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Vectors and Trigonometry We can use trigonometry to find the x-component and y- component of a vector The length of the vector (which is also the magnitude and hypotenuse) can used with an angle to find the components In particular, we will most often make use of sine and cosine
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Notation Vectors can be written in the following ways in two dimensions Either of these notations is appropriate for this class , x y v v v = < r ˆ ˆ x y v v i v j = + r
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The length of a vector is called it’s magnitude The x-component and y-component of the vector are the
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Recitation_Sup._2 - Vectors Recitation Presentation 2...

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