basic_tools:vector_calculus:cross_product
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basic_tools:vector_calculus:cross_product [2017/12/16 15:03] jakobadmin [Student] |
basic_tools:vector_calculus:cross_product [2018/03/28 12:26] (current) jakobadmin |
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| ====== Cross Product ====== | ====== Cross Product ====== | ||
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| - | <tabbox Why is it interesting?> | ||
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| - | The dot product is a tool that we can use to combine two vectors and get another vector out. This number describes the plane spanned by the two vectors. The magnitude of the resulting vector is the area of the plane, and the direction denotes the orientation of the plane, because it is perpendicular to it. | ||
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| - | This is an extremely useful concept and used in almost any physical theory, like for example, [[theories:classical_theories:electrodynamics|electrodynamics]]. Moreover, many other important tools, like the [[basic_tools:vector_calculus:curl]] are defined with the help of the cross product. | ||
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| - | <tabbox Layman> | + | <tabbox Intuitive> |
| <note tip> | <note tip> | ||
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| </note> | </note> | ||
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| - | <tabbox Student> | + | <tabbox Concrete> |
| {{ :basic_tools:vector_calculus:crossproduct.png?nolink|}} | {{ :basic_tools:vector_calculus:crossproduct.png?nolink|}} | ||
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| <cite>[[https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/|Vector Calculus: Understanding the Dot Product]] by Kalid Azad</cite></blockquote> | <cite>[[https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/|Vector Calculus: Understanding the Dot Product]] by Kalid Azad</cite></blockquote> | ||
| + | **Recommended Resources:** | ||
| * [[https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/|Vector Calculus: Understanding the Dot Product]] by Kalid Azad | * [[https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/|Vector Calculus: Understanding the Dot Product]] by Kalid Azad | ||
| + | * A Student's Guide to Vectors and Tensors by Daniel A. Fleisch | ||
| - | <tabbox Researcher> | + | <tabbox Abstract> |
| <note tip> | <note tip> | ||
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| - | <tabbox Examples> | + | <tabbox Why is it interesting?> |
| - | --> Example1# | ||
| - | + | The dot product is a tool that we can use to combine two vectors and get another vector out. This number describes the plane spanned by the two vectors. The magnitude of the resulting vector is the area of the plane, and the direction denotes the orientation of the plane, because it is perpendicular to it. | |
| - | <-- | + | |
| - | --> Example2:# | + | This is an extremely useful concept and used in almost any physical theory, like for example, [[models:classical_electrodynamics|electrodynamics]]. Moreover, many other important tools, like the [[basic_tools:vector_calculus:curl]] are defined with the help of the cross product. |
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| - | <-- | ||
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| - | <tabbox FAQ> | ||
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| - | <tabbox History> | ||
| </tabbox> | </tabbox> | ||
basic_tools/vector_calculus/cross_product.1513432998.txt.gz · Last modified: 2017/12/16 14:03 (external edit)
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