2.3. Відомі координати точок ; ; ;
.
а) З’ясувати, чи належать точки
до однієї площини;
б) знайти проекцію вектора
на вектор
;
в) обчислити напрямні конуси
вектора
.
№ |
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|
|
|
|
|
|
|
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|
|
|
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|
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|
|
|
01 |
1 |
3 |
6 |
2 |
2 |
1 |
–1 |
0 |
1 |
–4 |
6 |
–3 |
02 |
–4 |
2 |
6 |
2 |
–3 |
0 |
–10 |
5 |
8 |
–5 |
2 |
–4 |
03 |
7 |
2 |
4 |
7 |
–1 |
–2 |
3 |
3 |
1 |
–4 |
2 |
1 |
04 |
2 |
1 |
4 |
–1 |
5 |
–2 |
–7 |
–3 |
2 |
–6 |
–3 |
6 |
05 |
–1 |
–5 |
2 |
–6 |
0 |
–3 |
3 |
6 |
–3 |
–10 |
6 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
06 |
0 |
–1 |
–1 |
–2 |
3 |
5 |
1 |
–5 |
–9 |
–1 |
–6 |
3 |
07 |
5 |
2 |
0 |
2 |
5 |
0 |
1 |
2 |
4 |
–1 |
1 |
1 |
08 |
2 |
–1 |
–2 |
1 |
2 |
1 |
5 |
0 |
–6 |
–10 |
9 |
–7 |
09 |
–2 |
0 |
–4 |
–1 |
7 |
1 |
4 |
–8 |
–4 |
1 |
–4 |
6 |
10 |
14 |
4 |
5 |
–5 |
–3 |
2 |
–2 |
–6 |
–3 |
–2 |
2 |
–1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
1 |
2 |
0 |
3 |
0 |
–3 |
5 |
2 |
6 |
8 |
4 |
–9 |
12 |
2 |
–1 |
2 |
1 |
2 |
–1 |
3 |
2 |
1 |
–4 |
2 |
5 |
13 |
1 |
1 |
2 |
–1 |
1 |
3 |
2 |
–2 |
4 |
–1 |
0 |
–2 |
14 |
2 |
3 |
1 |
4 |
1 |
–2 |
6 |
3 |
7 |
7 |
5 |
–3 |
15 |
1 |
1 |
–1 |
2 |
3 |
1 |
3 |
2 |
1 |
5 |
9 |
–8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
1 |
1 |
1 |
3 |
4 |
0 |
–1 |
5 |
6 |
4 |
0 |
5 |
17 |
7 |
1 |
2 |
–5 |
3 |
–2 |
3 |
3 |
5 |
4 |
5 |
–1 |
18 |
–2 |
3 |
–2 |
2 |
–3 |
2 |
2 |
2 |
0 |
1 |
5 |
5 |
19 |
4 |
–1 |
3 |
–2 |
1 |
0 |
0 |
–5 |
1 |
3 |
2 |
–6 |
20 |
1 |
–1 |
1 |
–2 |
0 |
3 |
2 |
1 |
–1 |
2 |
––2 |
–4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
21 |
1 |
2 |
0 |
1 |
–1 |
2 |
0 |
1 |
–1 |
–3 |
0 |
1 |
22 |
1 |
0 |
2 |
1 |
2 |
–1 |
2 |
–2 |
1 |
2 |
1 |
0 |
23 |
1 |
2 |
–3 |
1 |
0 |
1 |
–2 |
–1 |
6 |
0 |
–5 |
––4 |
24 |
3 |
10 |
–1 |
–2 |
3 |
–5 |
–6 |
0 |
–3 |
1 |
–1 |
2 |
25 |
–1 |
2 |
4 |
–1 |
–2 |
––4 |
3 |
0 |
–1 |
7 |
–3 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
26 |
0 |
–3 |
1 |
–4 |
1 |
2 |
2 |
–1 |
5 |
3 |
1 |
–4 |
27 |
1 |
3 |
0 |
4 |
–1 |
2 |
3 |
0 |
1 |
–4 |
3 |
5 |
28 |
–2 |
–1 |
–1 |
0 |
3 |
2 |
3 |
1 |
–4 |
–4 |
7 |
3 |
29 |
–3 |
–5 |
6 |
2 |
1 |
–1 |
0 |
–3 |
–1 |
–5 |
2 |
––8 |
30 |
2 |
–4 |
–3 |
5 |
–6 |
0 |
–1 |
3 |
–3 |
–10 |
–8 |
7 |