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lecture_18_slides
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| lecture_18_slides [2017/04/06 10:03] – rupert | lecture_18_slides [2017/04/10 16:30] (current) – [Proof of the geometric dot product formula] rupert | ||
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| * Consider a triangle with two sides $\vv$ and $\ww$. By the triangle rule for vector addition, the third side is $\vv-\ww$: | * Consider a triangle with two sides $\vv$ and $\ww$. By the triangle rule for vector addition, the third side is $\vv-\ww$: | ||
| * Use the cosine rule with $A=\theta$, $a=\|\vv-\ww\|$, | * Use the cosine rule with $A=\theta$, $a=\|\vv-\ww\|$, | ||
| - | * $ \|\vv-\ww\|^2=\|\vv\|\,\|\ww\|-2\|\vv\|\, | + | * $ \|\vv-\ww\|^2=\|\vv\|^2+\|\ww\|^2-2\|\vv\|\, |
| ==== Proof of the geometric dot product formula, continued==== | ==== Proof of the geometric dot product formula, continued==== | ||
lecture_18_slides.1491473031.txt.gz · Last modified: by rupert