Çàâäàííÿ 4
„Âåêòîðíà àëãåáðà”
Äàí³ êîîðäèíàòè òî÷îê 
. Íåîáõ³äíî:
1. Çíàéòè ìîäóëü òà íàïðÿìîê âåêòîðà 
ó ïðîñòîð³.
2. Çíàéòè êóò ì³æ âåêòîðàìè 
òà 
.
3. Çíàéòè ïðîåêö³þ âåêòîðà 
íà íàïðÿì âåêòîðà 
.
4. Çíàéòè âåêòîð 
, ïåðïåíäèêóëÿðíèé äî âåêòîðà 
³ äî 
.
5. Îá÷èñëèòè ïëîùó òðèêóòíèêà ÀÂÑ.
6. Çíàéòè âèñîòó ïàðàëåëîãðàìà, ïîáóäîâàíîãî íà âåêòîðàõ ³ 
.
7. Îá÷èñëèòè îá’ºì ï³ðàì³äè 
.
8. Ïåðåâ³ðèòè, ÷è êîë³íåàðí³ âåêòîðè ³ 
.
9. Ïåðåâ³ðèòè, ÷è îðòîãîíàëüí³ âåêòîðè ³ 
.
10. Ïåðåâ³ðèòè, ÷è íàëåæàòü òî÷êè 
äî îäí³º¿ ïëîùèíè.
| 4.1 |  (1; –1; *)
|  (1; 2; 1)
|  (–3; 2; *)
|  (0; 0; –1)
|  (2; 6; *)
|
| 4.2 | (2; 3; *)
| (2; 1; –1)
| (3; –1; *)
| (1; –1; 3)
| (5; 2; *)
|
| 4.3 | (3; 3; *)
| (2; –1; 3)
| (0; 2; *)
| (0; 1; 3)
| (1; –1; *)
|
| 4.4 | (4; 2; *)
| (–1; 3; 0)
| (0; –1; *)
| (–2;1;–1)
| (5; 2; *)
|
| 4.5 | (5; –2; *)
| (–2; –1;3)
| (1; –2; *)
| (–1; 0; 1)
| (7;–2; *)
|
| 4.6 | (6; 0; *)
| (1; –2; 0)
| (0; 1; *)
| (2; 0; –3)
| (–1; 1; *)
|
| 4.7 | (7; 1; *)
| (2; 2; –1)
| (–1; –1; *)
| (–1;–1;0)
| (5; 2; *)
|
| 4.8 | (8; 1; *)
| (2; –1; 0)
| (2; 1; *)
| (2; 1; 3)
| (4; 0; *)
|
| 4.9 | (9; 2; *)
| (1; –1; 1)
| (2; 0; *)
| (2; 0; –1)
| (6; 6; *)
|
| 4.10 | (0; –3; *)
| (1; 0; –2)
| (–1; 0; *)
| (0; 0; 1)
| (–1; 1; *)
|
| 4.11 | (1; 1; *)
| (1; 2; 3)
| (0; 3; *)
| (–1;–2;–3)
| (2;–5; *)
|
| 4.12 | (2; 3; *)
| (1; –2; 1)
| (–1; 0; *)
| (1; –2; 0)
| (–4; 0; *)
|
| 4.13 | (3; –1; *)
| (0; 1; –1)
| (–2; 3; *)
| (0; –1; 0)
| (1; –2; *)
|
| 4.14 | (4; 2; *)
| (1; 3; –1)
| (–2; 1; *)
| (3; 0; 1)
| (0; –1; *)
|
| 4.15 | (5; –1; *)
| (3; 1; –2)
| (0; 1; *)
| (2; 3; 0)
| (1; 2; *)
|
Ïðîäîâæåííÿ
| 4.16 | (6; 0; *)
| (–1; 2; 3)
| (1; 0; *)
| (2; 1; –1)
| (5; 3; *)
|
| 4.17 | (7;–3; *)
| (0; –2; 1)
| (2; –3; *)
| (–1; 0; 0)
| (–4; 3; *)
|
| 4.18 | (8; –2; *)
| (0; 1; 3)
| (2; 1; *)
| (–3; 1; 0)
| (6; 2; *)
|
| 4.19 | (9; –1; *)
| (0; 1; 1)
| (–2; 0; *)
| (–1;–1;–1)
| (0; –2; *)
|
| 4.20 | (0; 0; *)
| (1;–2; –1)
| (0; 3; *)
| (–2; 1; 0)
| (1; 4; *)
|
| 4.21 | (1;1; *)
| (0; 2; 1)
| (–1; 3; *)
| (2; –2; 2)
| (–1;–3; *)
|
| 4.22 | (2;–2; *)
| (2; 1; 0)
| (0; 1; *)
| (–3;1;–1)
| (–1; 1; *)
|
| 4.23 | (3; 0; *)
| (1; 2; –3)
| (2; 0; *)
| (1; 3; –1)
| (–1; 1; *)
|
| 4.24 | (4; 0; *)
| (2; 1; –3)
| (0; 1; *)
| (–2;–1;0)
| (1; 4; *)
|
| 4.25 | (5;–1; *)
| (–3; 1; 0)
| (2; 1; *)
| (0; 1; 3)
| (–2; 5; *)
|
| 4.26 | (6; 1; *)
| (2; 2; –3)
| (–1;3; *)
| (1; 1; 1)
| (–2; 4; *)
|
| 4.27 | (7;0; *)
| (–2; 1; 3)
| (0;–1; *)
| (–1;–2;–5)
| (1; 0; *)
|
| 4.28 | (8; 0; *)
| (2; 1; –3)
| (–1; 0; *)
| (2;–1;–1)
| (2; 0; *)
|
| 4.29 | (9; 0; *)
| (–3; 1; 2)
| (–1; 0; *)
| (0; –3; 1)
| (–3; 0; *)
|
| 4.30 | (0; 2; *)
| (3; 2; 0)
| (–1; 3; *)
| (–2;–1;3)
| (–1;–1; *)
|