Векторная алгебра. Машанов В.И - 21 стр.

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Задача 10
Найти работу силы
F
на пути ,ABC если:
N
F
r
A
B
C
1
)1,2,3( F
r
)3,1,0(
A )2,4,1(
B )0,1,3(C
2
)4,0,2(F
r
)5,2,3(
A )3,1,0(
B )6,5,2(
C
3
)1,2,3( F
r
)0,5,4(A )2,1,3(B )1,6,0(C
4
)3,5,2( F
r
)3,0,4(
A )0,1,2(B )4,2,5(
C
5
)4,3,2( F
r
)0,1,4(A )1,2,3(
B )3,2,0(
C
6
)2,4,3( F
r
)4,0,5(
A )2,1,4(B )5,2,3(
C
7
)1,3,4( F
r
)2,5,4(
A )3,0,6(
B )1,2,3(
C
8
)5,3,2( F
r
)2,3,6(
A )1,2,4(
B )3,1,0(C
9
)1,2,3( F
r
)0,1,4(A )3,4,0(
B )5,2,3(
C
10
)3,2,4( F
r
)3,1,4(A )1,3,2(
B )2,0,5(
C
11
)1,2,3( F
r
)1,1,4(
A )2,0,3(
B )3,1,4(
C
12
)5,2,4( F
r
)2,4,4(
A )6,5,4(
B )5,0,6(C
13
)0,1,5(F
r
)3,1,5(A )6,1,3(
B )4,2,7(C
14
)6,2,3( F
r
)4,2,0(
A )2,1,3(B )4,3,4(C
15
)5,3,3(F
r
)3,1,2(
A )1,4,2(B )2,4,7(
C
16
)5,3,2(F
r
)3,2,0(
A )0,3,2(B )6,2,5(C
17
)4,2,3( F
r
)0,2,4(
A )3,2,0(
B )3,4,5(C
18
)4,1,3(F
r
)1,2,3(
A )2,1,3(B )4,3,5(C
19
)1,4,3(F
r
)5,1,3(A )5,3,2(
B )1,6,4(
C
20
)2,5,4( F
r
)4,1,3(A )2,1,0(
B )4,5,6(C
21
)5,1,3(F
r
)4,3,2(A )2,0,3(B )5,1,2(
C
22
)2,6,5( F
r
)3,1,2(A )4,0,2(
B )6,2,3(
C
23
)2,3,4( F
r
)5,2,3(
A )3,1,0(
B )3,1,2(
C
24
)3,2,0( F
r
)5,3,4(A )3,1,2(
B
)1,6,5(
C
25
)5,2,3( F
r
)1,2,3(
A )3,5,1(
B
)2,4,6(
C
26
)3,1,4(F
r
)3,4,3(
A )1,0,2(B
)2,7,5(
C
27
)2,5,4( F
r
)2,4,3(
A )1,2,0(
B
)5,1,2(
C
28
)6,2,3(F
r
)3,1,2(
A )1,0,3(B
)3,2,4(
C
29
)1,3,0( F
r
)2,3,2(
A )0,2,4(B
)1,7,5(
C
30
)5,2,3( F
r
)1,3,2(
A )3,1,0(B
)4,2,1(
C
Задача 10
Найти работу силы F на пути ABC , если:
    r
N F                      A                B            C
    r
 1 F (3,−2,1)            A(0,−1,3)        B (1,−4,2)   C (3,1,0)
    r
 2 F (−2,0,4)            A(3,−2,5)        B (0,−1,3)   C (2,−5,6)
    r
 3 F (3,2,−1)            A(4,5,0)         B (3,1,2)    C (0,6,1)
    r
 4 F (2,−5,3)            A(4,0,−3)        B (2,1,0)    C (5,2,−4)
    r
 5 F (2,3,−4)            A(4,1,0)         B (3,−2,1)   C (0,−2,3)
    r
 6 F (3,4,−2)            A(5,0,−4)        B (4,1,2)    C (3,−2,5)
    r
 7 F (4,−3,1)            A(4,5,−2)        B (6,0,−3)   C (3,−2,1)
    r
 8 F (2,−3,5)            A(6,3,−2)        B (4,−2,1)   C (0,1,3)
    r
 9 F (3,−2,1)            A(4,1,0)         B (0,4,−3)   C (3,−2,5)
    r
10 F (4,2,−3)            A(4,1,3)         B (2,−3,1)   C (5,0,−2)
    r
11 F (3,2,−1)            A(4,−1,1)        B (3,0,−2)   C (4,1,−3)
    r
12 F (4,2,−5)            A(4,4,−2)        B (4,5,−6)   C (6,0,5)
    r
13 F (5,1,0)             A(5,1,3)         B (−3,1,6)   C (7,2,4)
    r
14 F (3,−2,6)            A(0,−2,4)        B (3,1,2)    C (4,3,4)
    r
15 F (3,3,5)             A(2,−1,3)        B (2,4,1)    C (7,4,−2)
    r
16 F (2,3,5)             A(0,−2,3)        B (2,3,0)    C (5,2,6)
    r
17 F (3,−2,4)            A(4,−2,0)        B (0,2,−3)   C (5,4,3)
    r
18 F (3,1,4)             A(3,2,−1)        B (3,1,2)    C (5,3,4)
    r
19 F (3,4,1)             A(3,1,5)         B (2,3,−5)   C (4,6,−1)
    r
20 F (4,−5,2)            A(3,1,4)         B (0,−1,2)   C (6,5,4)
    r
21 F (3,1,5)             A(2,3,4)         B (3,0,2)    C (−2,1,5)
    r
22 F (5,6,−2)            A(2,1,3)         B (−2,0,4)   C (3,−2,6)
    r
23 F (4,−3,2)            A(3,−2,5)        B (0,1,−3)   C (−2,1,3)
    r
24 F (0,2,−3)            A(4,3,5)         B (−2,1,3)   C (5,6,−1)
    r
25 F (3,−2,5)            A(3,2,−1)        B (1,5,−3)   C (6,4,−2)
    r
26 F (4,1,3)             A(3,4,−3)        B (2,0,1)    C (5,7,−2)
    r
27 F (4,5,−2)            A(3,−4,2)        B (0,−2,1)   C ( 2,−1,5)
    r
28 F (3,2,6)             A(−2,1,3)        B (3,0,1)    C ( 4,−2,3)
    r
29 F (0,−3,1)            A(2,3,−2)        B (4,2,0)    C (5,7,−1)
    r
30 F (3,−2,5)            A(2,3,−1)        B (0,1,3)    C (−1,2,4)