Аналитическая геометрия. Часть II. Аналитическая геометрия пространства. Шурыгин В.В. - 22 стр.

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[[a, b], c] = [u, c] =
e
1
e
2
e
3
0 0 a
1
b
2
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) − (b
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= −a
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b
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c
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e
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+ a
1
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[[a, b], c] + [[b, c], a] + [[c, a], b] = 0.
[a, b] = −[b, a]
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[ ·, ·]
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¬).+ ,+9)3)2-3O (2+ ,0903 (0-27 2+sC)-290 4))2 9 2+(+-2 20.+D s)
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a(b, c) = a1 c1 (b1 e1 + b2 e2 ) − (b1 c1 + b2 c2 )a1 e1 = −a1 b2 c2 e1 + a1 b2 c1 e2 2
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([[a, b], c], d) = (b(a, c) − a(b, c), d) = (b, d)(a, c) − (a, d)(b, c) 2
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    ?00 1)D+ ):09-4E 9).2++9 {a, b} +*0:)2 *0:- 0 ,1+-.+-2
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                                                            !
                                           (a, a) (a, b)
                            G(a, b) =                           .
                                           (b, a) (b, b)


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