184_notes:math_review

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184_notes:math_review [2018/05/17 13:34] – [Vector Notation] curdemma184_notes:math_review [2018/05/17 13:35] – [Vector Notation] curdemma
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 where $a_x$, $a_y$, and $a_z$ are the vector components in the $x$, $y$, and $z$ direction respectively. They tell you "how much" of the vector $\vec{a}$ is aligned with each coordinate direction. The vector itself is denoted either in bold face (typical in textbooks) or with an arrow above it.  where $a_x$, $a_y$, and $a_z$ are the vector components in the $x$, $y$, and $z$ direction respectively. They tell you "how much" of the vector $\vec{a}$ is aligned with each coordinate direction. The vector itself is denoted either in bold face (typical in textbooks) or with an arrow above it. 
  
-The magnitude (or length of a vector) is a scalar quantity and is denoted by vertical lines on either side of the vector (e.g. |$$a|). It can be found by using the [[https://en.wikipedia.org/wiki/Pythagorean_theorem|Pythagorean theorem]] in three dimensions:+The magnitude (or length of a vector) is a scalar quantity and is denoted by vertical lines on either side of the vector. It can be found by using the [[https://en.wikipedia.org/wiki/Pythagorean_theorem|Pythagorean theorem]] in three dimensions:
 $$a = | \vec{a} | = \sqrt{a_x^2+a_y^2+a_z^2}$$ $$a = | \vec{a} | = \sqrt{a_x^2+a_y^2+a_z^2}$$
  
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