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184_notes:math_review [2017/08/24 16:05] – [Vector Multiplication] tallpaul | 184_notes:math_review [2018/05/17 13:21] – [Math Review] curdemma | ||
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===== Math Review ===== | ===== Math Review ===== | ||
- | The following mathematical ideas are important to understand and be able to use as we will rely on them fairly heavily in this course. These notes will provide a review of these ideas with links to more thorough resources if you feel like you need more information about a topic. | + | The following mathematical ideas are important to understand and to be able to use as we will rely on them fairly heavily in this course. These notes will provide a review of these ideas with links to more thorough resources if you feel like you need more information about a topic. |
==== Scientific Notation ==== | ==== Scientific Notation ==== | ||
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*If you dot two vectors that are perfectly perpendicular, | *If you dot two vectors that are perfectly perpendicular, | ||
*If you dot two vectors that point directly opposite each other, you will get the // | *If you dot two vectors that point directly opposite each other, you will get the // | ||
- | *The order of the dot product does not matter. This means that $\vec{a} \cdot \vec{b}$ will give you the same answer as $\vec{b} \cdot \vec{a}$, that is, | + | *The order of the dot product does not matter. This means that $\vec{a} \bullet |
$$\vec{a}\bullet\vec{b} = \vec{b}\bullet\vec{a}$$ | $$\vec{a}\bullet\vec{b} = \vec{b}\bullet\vec{a}$$ | ||