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184_notes:math_review [2018/05/17 13:31] – [Vector Notation] curdemma | 184_notes:math_review [2018/05/17 13:33] – [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. It can be found by using the [[https:// | + | The magnitude (or length of a vector) is a scalar quantity and is denoted by vertical lines on either side of the vector |
$$a = | \vec{a} | = \sqrt{a_x^2+a_y^2+a_z^2}$$ | $$a = | \vec{a} | = \sqrt{a_x^2+a_y^2+a_z^2}$$ | ||