Matematika/Vektorius: Skirtumas tarp puslapio versijų
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216 eilutė:
<math>f=\sqrt{(3-4)^2+(4-3)^2+(5-5)^2}=\sqrt{2}=1.414213562.</math>
:<math>p={a+b+f\over 2}={\sqrt{50}+\sqrt{50}+\sqrt{2}\over 2}=\sqrt{50}+{\sqrt{2}\over 2}=7.778174593.</math>
:<math>S_{\Delta} = \sqrt{p(p-a)(p-b)(p-f)} =</math>
<math>=\sqrt{7.778174593(\sqrt{50}+{\sqrt{2}\over 2}-\sqrt{50})(\sqrt{50}+{\sqrt{2}\over 2}-\sqrt{50})(\sqrt{50}+{\sqrt{2}\over 2}-\sqrt{2})}=</math> :<math>=\sqrt{7.778174593\cdot {\sqrt{2}\over 2}\cdot {\sqrt{2}\over 2}\cdot (\sqrt{50}-{\sqrt{2}\over 2})}=\sqrt{7.778174593\cdot {1\over 2} \cdot 6.363961031}=\sqrt{24.75}=
<math>=4.974937186.</math>
<math>S=2S_{\Delta}=2\cdot 4.974937186=9.949874371.</math>
<math>V=S\cdot ||c||=9.949874371\cdot \sqrt{50}=70.3562364.</math>
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