Аналитическая геометрия и линейная алгебра. I семестр. Курс лекций. Кирсанов А.А. - 4 стр.

       4.5.2. Ïîâîðîò ÏÑÊ â ïëîñêîñòè. ............................................... 90
       4.6. Ïðîèçâåäåíèÿ âåêòîðîâ ........................................................ 93
       4.6.1. Ñêàëÿðíîå ïðîèçâåäåíèå âåêòîðîâ. .................................. 93
       4.6.2. Ïðîåêöèÿ âåêòîðà íà ïðîèçâîëüíóþ ïðÿìóþ. ................. 97
       4.6.3. Îðèåíòàöèÿ ïðÿìîé, ïëîñêîñòè è ïðîñòðàíñòâà ............. 98
       4.6.4. Ïëîùàäü îðèåíòèðîâàííîãî ïàðàëëåëîãðàììà, îáú¸ì
       îðèåíòèðîâàííîãî ïàðàëëåëåïèïåäà ....................................... 100
       4.6.5. Âåêòîðíîå ïðîèçâåäåíèå äâóõ âåêòîðîâ ......................... 101
    4.7. Ïðîèçâåäåíèÿ òð¸õ âåêòîðîâ .................................................. 105
       4.7.1. Ïðîñòåéøåå ïðîèçâåäåíèå òð¸õ âåêòîðîâ ...................... 105
       4.7.2. Âåêòîðíî-âåêòîðíîå ïðîèçâåäåíèå òð¸õ âåêòîðîâ ......... 105
       4.7.3. Âåêòîðíî-ñêàëÿðíîå (ñìåøàííîå) ïðîèçâåäåíèå
       òð¸õ âåêòîðîâ ............................................................................ 108
5. Ïðÿìûå ëèíèè è ïëîñêîñòè
    5.1. Ïàðàìåòðè÷åñêîå óðàâíåíèå ïðÿìîé ..................................... 112
    5.2. Ïàðàìåòðè÷åñêîå óðàâíåíèå ïëîñêîñòè ................................ 113
    5.3. Ïðÿìàÿ ëèíèÿ íà ïëîñêîñòè ................................................... 114
    5.4. Âåêòîðíûå óðàâíåíèÿ ïëîñêîñòè è ïðÿìîé ........................... 118
    5.5. Óñëîâèÿ ïàðàëëåëüíîñòè ïëîñêîñòåé è ïðÿìûõ
    íà ïëîñêîñòè .................................................................................. 125
    5.6. Óðàâíåíèå ïðÿìîé â ïðîñòðàíñòâå ........................................ 129
    5.7. Ïðÿìàÿ íà ïëîñêîñòè. Îñíîâíûå çàäà÷è ............................... 132
    5.8. Ïðÿìàÿ è ïëîñêîñòü â ïðîñòðàíñòâå. Îñíîâíûå çàäà÷è ....... 149
6. Ëèíèè âòîðîãî ïîðÿäêà
    6.1. Ïàðàáîëà ................................................................................. 160
       6.1.1. Äèðåêòîðèàëüíîå ñâîéñòâî ïàðàáîëû ............................ 161
       6.1.2. Êàñàòåëüíàÿ ê ïàðàáîëå .................................................. 162
       6.1.3. Îïòè÷åñêîå ñâîéñòâî ïàðàáîëû ...................................... 163
    6.2 Ýëëèïñ ...................................................................................... 165
       6.2.1. Ôîêàëüíîå ñâîéñòâî ýëëèïñà .......................................... 167
       6.2.2. Äèðåêòîðèàëüíîå ñâîéñòâî ýëëèïñà ............................... 168
       6.2.3. Êàñàòåëüíàÿ ê ýëëèïñó ..................................................... 170
       6.2.4. Îïòè÷åñêîå ñâîéñòâî ýëëèïñà ......................................... 171
    6.3. Ãèïåðáîëà ................................................................................ 173
       6.3.1. Ôîêàëüíîå ñâîéñòâî ãèïåðáîëû ..................................... 174
       6.3.2. Äèðåêòîðèàëüíûå ñâîéñòâà ãèïåðáîëû ......................... 176
       6.3.3. Óðàâíåíèå êàñàòåëüíîé ê ãèïåðáîëå .............................. 177
       6.3.4. Îïòè÷åñêîå ñâîéñòâî ãèïåðáîëû .................................... 178