Векторная алгебра. Машанов В.И - 29 стр.

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10
(2,-3)
o
210
(4 3 ,2)
25
(0,0)
o
180
(1,1)
11
(0,1)
o
225
( 2 ,0)
26
( 3 ,- 3 )
o
210
(2,0)
12
(3,1)
o
240
(2 3 ,2)
27
(1,1)
o
225
( 2 ,0)
13
(2,1)
o
270
(2,0) 28
(1, 3 )
o
240
(2,0)
14
(3,0)
o
300
(2, 2 3 )
29
(-3,1)
o
270
(3,0)
15
(4,2)
o
315
(1,1) 30
(0,0)
o
300
(2,2 3 )
Задача 20
В треугольнике с данными вершинами найти координаты векторов: высоты ,KA
r
медианы
,LA
r
биссектрисы .MA
r
N
A
B
C
1 (0,1,2) (1,3,4) (1,5,10)
2 (3,-2,1) (4,0,3) (5,0,2)
3 (-2,1,3) (0,6,17) (-1,,5)
4 (3,0,-2) (3,3,2) (5,5,12)
5 (-1,2,0) (3,10,8) (1,7,14)
6 (0,1,3) (1,-1,5) (1,-3,11)
7 (3,-2,1) (4,0,-1) (7,6,-7)
8 (4,0,-1) (3,-2,-3) (6,3,5)
9 (2,-1,0) (4,-4,6) (2,-4,-4)
10
(4,5,11) (4,2,7) (5,1,3)
11
(3,-5,0) (4,-1,8) (1,1,9)
12
(4,-3,2) (0,5,10) (4,2,-10)
13
(6,-2,1) (6,-5,-3) (4,3,15)
14
(2,0,-3) (4,6,6) (2,5,9)
15
(4,0,-2) (6,3,4) (6,6,7)
16
(5,-3,0) (1,-11,8) (7,2,14)
17
(6,-1,3) (7,1,5) (4,2,-3)
18
(-1,3,5) (1,6,-1) (-1,6,9)
19
(2,-2,3) (2,1,-1) (1,2,-5)
20
(4,0,-6) (3,4,2) (2,6,3)
21
(4,0,-1) (6,6,8) (4,5,-13)
22
(3,-2,6) (3,3,-6) (5,3,-8)
23
(0,-1,2) (2,4,-12) (1,1,0)
24
(-3,0,-2) (-2,2,0) (-1,3,-8)
25
(1,-2,4) (3,1,10) (1,1,0)
26
(3,-1,0) (3,2,-4) (4,3,8)
27
(-4,5,1) (-3,1,9) (-2,-1,10)
28
(0,-2,-5) (2,1,1) (0,3,7)
29
(0,-4,1) (1,-2,3) (1,0,-7)
30
(2,-3,5) (3,1,-3 (4,3,-4)
10 (2,-3)          210 o     (4 3 ,2)     25 (0,0)          180 o      (1,1)
11 (0,1)           225 o     ( 2 ,0)      26 ( 3 ,- 3 )      210 o     (2,0)
12 (3,1)           240 o     (2 3 ,2)     27 (1,1)           225 o     ( 2 ,0)
13 (2,1)           270   o   (2,0)        28 (1, 3 )         240   o   (2,0)
14 (3,0)          300    o
                             (2, 2 3 )    29 (-3,1)          270 o     (3,0)
15 (4,2)          315 o      (1,1)        30 (0,0)          300 o      (2,2 3 )


Задача 20
                                                                      r
В треугольнике с данными вершинами найти координаты векторов: высоты AK , медианы
  r                 r
AL, биссектрисы AM .
N A                           B                      C
1 (0,1,2)                    (1,3,4)                 (1,5,10)
2 (3,-2,1)                   (4,0,3)                 (5,0,2)
3 (-2,1,3)                   (0,6,17)                (-1,,5)
4 (3,0,-2)                   (3,3,2)                 (5,5,12)
5 (-1,2,0)                   (3,10,8)                (1,7,14)
6 (0,1,3)                    (1,-1,5)                (1,-3,11)
7 (3,-2,1)                   (4,0,-1)                (7,6,-7)
8 (4,0,-1)                   (3,-2,-3)               (6,3,5)
9 (2,-1,0)                   (4,-4,6)                (2,-4,-4)
10 (4,5,11)                  (4,2,7)                 (5,1,3)
11 (3,-5,0)                  (4,-1,8)                (1,1,9)
12 (4,-3,2)                  (0,5,10)                (4,2,-10)
13 (6,-2,1)                  (6,-5,-3)               (4,3,15)
14 (2,0,-3)                  (4,6,6)                 (2,5,9)
15 (4,0,-2)                  (6,3,4)                 (6,6,7)
16 (5,-3,0)                  (1,-11,8)               (7,2,14)
17 (6,-1,3)                  (7,1,5)                 (4,2,-3)
18 (-1,3,5)                  (1,6,-1)                (-1,6,9)
19 (2,-2,3)                  (2,1,-1)                (1,2,-5)
20 (4,0,-6)                  (3,4,2)                 (2,6,3)
21 (4,0,-1)                  (6,6,8)                 (4,5,-13)
22 (3,-2,6)                  (3,3,-6)                (5,3,-8)
23 (0,-1,2)                  (2,4,-12)               (1,1,0)
24 (-3,0,-2)                 (-2,2,0)                (-1,3,-8)
25 (1,-2,4)                  (3,1,10)                (1,1,0)
26 (3,-1,0)                  (3,2,-4)                (4,3,8)
27 (-4,5,1)                  (-3,1,9)                (-2,-1,10)
28 (0,-2,-5)                 (2,1,1)                 (0,3,7)
29 (0,-4,1)                  (1,-2,3)                (1,0,-7)
30 (2,-3,5)                  (3,1,-3                 (4,3,-4)