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Векторы в пространстве Oxyz

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Векторы в пространстве Oxyz

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Короткие утверждения про векторы 3D

Created by

данил зимин
данил зимин
Kazakhstan

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Векторы в пространстве Oxyz
 

Векторы в пространстве OxyzOnline version

Короткие утверждения про векторы 3D

by данил зимин
1

Длина вектора равна корню из суммы квадратов его координат: ||v|| = sqrt(x^2 + y^2 + z^2).

2

Сумма двух векторов не определена в пространстве Oxyz.

3

Модуль вектора может быть отрицательным числом.

4

Вектор в пространстве Oxyz имеет направление и длину.

5

Скалярное произведение двух векторов v=(x1,y1,z1), w=(x2,y2,z2) равно x1x2 + y1y2 + z1z2.

6

Нулевой вектор имеет ненулевую длину.

7

Вектор в Oxyz может существовать без координат.

8

Скалярное произведение равно разности модулей векторов.

9

Любой вектор в Oxyz можно задать тройкой координат (x, y, z) относительно базиса.

 
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