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lecture_20_slides
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| lecture_20_slides [2016/04/13 15:42] – [Example 2] rupert | lecture_20_slides [2016/04/13 15:43] (current) – rupert | ||
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| * Normal vector for $\Pi$: $\nn=\c211\times\c{-3}75 = \cp211{-3}75=\c{-2}{-13}{17}$ | * Normal vector for $\Pi$: $\nn=\c211\times\c{-3}75 = \cp211{-3}75=\c{-2}{-13}{17}$ | ||
| * $\Pi$ has equation $-2x-13y+17z=d$ | * $\Pi$ has equation $-2x-13y+17z=d$ | ||
| + | ==== ==== | ||
| + | * $\Pi$ has equation $-2x-13y+17z=d$ and contains $L:\c xyz=\c{6/ | ||
| * Take $t=2$: $(0,3,2)$ in $L$, so in $\Pi$ | * Take $t=2$: $(0,3,2)$ in $L$, so in $\Pi$ | ||
| * Sub in: $d=0-13(3)+17(2)=-39+34=-5$ | * Sub in: $d=0-13(3)+17(2)=-39+34=-5$ | ||
| * Answer: $-2x-13y+17z=-5$, | * Answer: $-2x-13y+17z=-5$, | ||
lecture_20_slides.1460562126.txt.gz · Last modified: by rupert