Ответ дан Пользователем Emerald0101 Главный мозг
Исправлена опечатка в номере 8.
1)
2)
3)
4=5)
6)
7)
8)
.
9) AB + AD = AC; CD - CB = BD;
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Ответ дан Пользователем Emerald0101 Главный мозг
Исправлена опечатка в номере 8.
1)![(AB*DC)=|AB|*|DC|cos0=a^2 (AB*DC)=|AB|*|DC|cos0=a^2](https://tex.z-dn.net/?f=%20%28AB%2ADC%29%3D%7CAB%7C%2A%7CDC%7Ccos0%3Da%5E2%20)
2)![(AD*CB)=|AD|*|CB|cos180=-a^2 (AD*CB)=|AD|*|CB|cos180=-a^2](https://tex.z-dn.net/?f=%28AD%2ACB%29%3D%7CAD%7C%2A%7CCB%7Ccos180%3D-a%5E2)
3)![(BC*DC)=|BC|*|DC|cos90=0 (BC*DC)=|BC|*|DC|cos90=0](https://tex.z-dn.net/?f=%28BC%2ADC%29%3D%7CBC%7C%2A%7CDC%7Ccos90%3D0)
4=5)![(AC*DC)=|AC|*|DC|cos45=a \sqrt{2}*a *\frac{ \sqrt{2} }{2}=a^2 (AC*DC)=|AC|*|DC|cos45=a \sqrt{2}*a *\frac{ \sqrt{2} }{2}=a^2](https://tex.z-dn.net/?f=%28AC%2ADC%29%3D%7CAC%7C%2A%7CDC%7Ccos45%3Da%20%5Csqrt%7B2%7D%2Aa%20%2A%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D%3Da%5E2%20)
6)![(AC*CD)=|AC|*|CD|cos135=a \sqrt{2}*a *(-\frac{ \sqrt{2} }{2})=-a^2 (AC*CD)=|AC|*|CD|cos135=a \sqrt{2}*a *(-\frac{ \sqrt{2} }{2})=-a^2](https://tex.z-dn.net/?f=%28AC%2ACD%29%3D%7CAC%7C%2A%7CCD%7Ccos135%3Da%20%5Csqrt%7B2%7D%2Aa%20%2A%28-%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D%29%3D-a%5E2%20)
7)![(AC*BD)=|AC|*|BD|cos90=0 (AC*BD)=|AC|*|BD|cos90=0](https://tex.z-dn.net/?f=%28AC%2ABD%29%3D%7CAC%7C%2A%7CBD%7Ccos90%3D0%20)
8)![(AK*AN)=|AK|*|AN|cos(AK,AN) (AK*AN)=|AK|*|AN|cos(AK,AN)](https://tex.z-dn.net/?f=%28AK%2AAN%29%3D%7CAK%7C%2A%7CAN%7Ccos%28AK%2CAN%29%20)
9) AB + AD = AC; CD - CB = BD;