Версия для печати темы

Автор: kiryha 10.10.2010, 9:14

Помогите плиз)) вообще ничего не знаю сама(((((((((
1 Векторы а, b, c попарно образуют друг с другом одинаковые углы, равные п/3. Зная что |a|=1, |b|=2, |с|=3 , определить модуль вектора p=a+b-c

2 По координатам вершин пирамиды А1А2А3А4 А1 (-2,0,4), А2 (-1,7,1), А3 (4,-8,-4) А4 (1,-4,6) Найти
1) Длину ребер А1А2
2) Угол между ребрами А1А2 и А1А4
3) Площадь грани А1А2А3
4) Объём пирамиды
5) Длину высоты проведенной из вершины А4 на основание А1А2А3

3 Даны 4 вектора в некотором базисе: а, b, с и d. Показать что векторы а, b, с образуют базис и найти координаты вектора d в этом базисе.
а (2, -3, 0)
b ( 1, 3, 2)
с (-1, 2, 4)
d (5, 5,-2)

Автор: tig81 10.10.2010, 9:26

http://www.prepody.ru/ipb.html?act=boardrules
Смотрим примеры http://reshebnik.ru/solutions/9/ и http://reshebnik.ru/solutions/10/. Также подобные примеры есть в http://reshebnik.ru/ryabushko/. Ждем ваших наработок, иначе тема будет закрыта. Либо обращайтесь в платный раздел.

П.С. Переезжаем в раздел "Линейная алгебра и аналитическая геометрия"

Автор: Harch 11.10.2010, 7:23

пока помогу только с 3), остальное с вашими наработками.
Покажите что a b c л/нз, а => в 3-х мерном пр-ве они образуют базис. А выразить вектор d через них так: напишите систему уравнений и решите ее (например методом гаусса). Система пишется по координатно.

Автор: tig81 11.10.2010, 8:05

+ можно посмотреть примеры http://ef.donnu.edu.ua/pvd141048/Data/MdE/ModBM/0A17.htm и http://reshebnik.ru/solutions/9/1/

Автор: Harch 11.10.2010, 8:27

Ну да, только я думал что это очевидно

Автор: tig81 11.10.2010, 8:38

Кому как. Судя по тому, что kiryha пропала...

Автор: Dimka 11.10.2010, 9:21

kiryha (Кирюха) это все таки наверное он

Автор: tig81 11.10.2010, 9:25

Тоже так думала, пока не прочитала

Так что вопрос спорный.

Автор: Harch 11.10.2010, 14:24

а может (извините) и он и она?

Автор: kiryha 11.10.2010, 14:49

ОНА! пользы от этих форумов никакой(((((((((((((!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Автор: tig81 11.10.2010, 14:54

Решать за вас никто не будет!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ссылки на примеры вам дали, указания к решению также. Идите разбирайтесь.
Не хотите разбираться, обращайтесь в платный раздел. Хлеб вам в магазине бесплатно не дадут.
Если вас что-то не устраивает, то вас сюда никто не звал.

П.С. В связи с отсутствием наработок тема закрыта. Для открытия свои идеи по решению направляйте в личку любому модератору.

Автор: kiryha 11.10.2010, 18:10

Посмотрите задачу.
1 Векторы а, b, c попарно образуют друг с другом одинаковые углы, равные п/3. Зная что |a|=1, |b|=2, |с|=3 , определить модуль вектора p=a+b-c

Так может быть?
|p| = √(p,p) = √ (a + b – c, a + b – c) = √ a² + b² – c² + 2(ab) +2(ac) +2(bc) = √ 1² +2² – 3² + 2(1*2) +2(1*3) +2(2*3) = √14 +2 ( 1+3+2) = √14+12 = √26
|p| = примерно 5

Автор: tig81 11.10.2010, 18:16

А как же

????

Почему 2(ac) и 2(bc) со знаком "+"?

Как находили 2(ab), 2(ac), 2(bc)? Что такое скалярное произведение? Значение угла, заданное в условии, вы никак не использовали.

Решите все таки, где будете консультироваться: http://www.webmath.ru/forum/index.php?topic=5275.0
А то получается испорченный телефон.

П.С. Свои наработки надо присылать в личку модератору, а не спамить по всему форуму.

Автор: Harch 11.10.2010, 18:30

tig81, похоже Вас сильно разозлили
А по второй где наработки?

Автор: tig81 11.10.2010, 18:34

Меня долго надо злить, чтобы разозлить. Но хамство не приемлю.

На другом форуме подскажут.

Автор: Harch 11.10.2010, 18:37

понял действительно, то сообщение с кучей воскл знаков - хамство ><



похоже так оно и есть.
Тему пора закрывать.

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