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math:vectors [2021/03/18 02:47] – fixed header epixmath:vectors [2021/03/18 02:56] (current) – added a note on graphing vectors epix
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 ====== Vectors ====== ====== Vectors ======
-Vectors are line segments that represent the magnitude and direction of a quantity, which is useful for real life quantities like force and velocity. It is usually described by two points/ordered pairs. Vectors are written with an arrow on top of the two point letters instead of a line like for line segments.+Vectors are line segments that represent the magnitude and direction of a quantity, which is useful for real life quantities like force and velocity. It is usually described by two points/ordered pairs. Vectors are written with an arrow on top of the two point letters instead of a line like for line segments. Sometimes it may be useful to graph two vectors as the sum of their parts. Doing this allows you to do trigonometry to find values of the combined vector on harder problems without the hassle of vector math. Trigonometry is also indefinitely useful for this unit. 
 ===== Component Form ===== ===== Component Form =====
 The component form of a vector is the individual changes in horizontal and vertical units that make up the combined vector's magnitude and direction. If the vector is graphed, just //count the boxes™//, otherwise do $y_2 - y_1$ and $x_2 - x_1$ with the ordered pairs they give you for each component. Component form is written with angled brackets (e.g. <2,-1>) to distinguish it from standard ordered pairs. The component form of a vector is the individual changes in horizontal and vertical units that make up the combined vector's magnitude and direction. If the vector is graphed, just //count the boxes™//, otherwise do $y_2 - y_1$ and $x_2 - x_1$ with the ordered pairs they give you for each component. Component form is written with angled brackets (e.g. <2,-1>) to distinguish it from standard ordered pairs.

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