Ñêàëÿðíîå ïðîèçâåäåíèå âåêòîðîâ
Date: 2015-10-07; view: 444.
Êîëëèíåàðíîñòü âåêòîðîâ
ÂÀÐÈÀÍÒÛ ÊÎÍÒÐÎËÜÍÛÕ ÇÀÄÀÍÈÉ
Ïðîâåðèòü êîëëèíåàðíîñòü âåêòîðîâ 
è 
, ïîñòðîåííûõ ïî âåêòîðàì 
è 
.
Òàáëèöà 3.1 – Èñõîäíûå äàííûå
| ¹ âàð | (  )
| (  )
|
|
|
| (3; 7; 0) | (4; 6; -1) | 3 + 2
| 5 – 7
| |
| (2; -1; 4) | (3; -7; -6) | 2 – 3
| 3 – 2
| |
| (5; -1; -2) | (6; 0; 7) | 3 – 2
| –6 + 4
| |
| (-9; 5; 3) | (7; 1; -2) | 2 –
| 3 + 5
| |
| (4; 2; 9) | (0; -1; 3) | –3 + 4
| 4 – 3
| |
| (2; -1; 6) | (-1; 3; 8) | 5 – 2
| 2 – 5
| |
| (5; 0; 8) | (-3; 1; 7) | 3 – 4
| –9 + 12
| |
| (-1; 3; 4) | (2; -1; 0) | 6 – 2
| –3 +
| |
| (4; 2; -7) | (5; 0; -3) | – 3
| –2 + 6
| |
| (2; 0; -5) | (1; -3; 4) | 2 – 5
| 5 – 2
| |
| (1; -2; 3) | (3; 0; -1) | 2 + 4
| – + 3
| |
| (1; 0; 1) | (-2; 3; 5) | + 2
| 3 –
| |
| (-2; 4; 1) | (1; -2; 7) | 5 + 3
| 2 –
| |
| (1; 2; -3) | (2; -1; -1) | 4 + 3
| 8 –
| |
| (3; 5; 4) | (5; 9; 7) | –2 +
| 3 – 2
| |
| (1; 4; -2) | (1; 1; -1) | +
| 4 + 2
| |
| (1; -2; 5) | (3; -1; 0) | 4 – 2
| –2 +
| |
| (3; 4; -1) | (2; -1; 1) | 6 – 3
| –2 +
| |
| (-2; -3; -2) | (1; 0; 5) | 3 + 9
| – – 3
|
Ïðîäîëæåíèå òàáëèöû 3.1
| (-1; 4; 2) | (3; -2; 6) | 2 –
| –6 + 3
| |
| (5; 0; -1) | (7; 2; 3) | 2 –
| –6 + 3
| |
| (0; 3; -2) | (1; -2; 1) | 5 – 2
| 3 + 5
| |
| (-2; 7; -1) | (-3; 5; 2) | 2 + 3
| 3 + 2
| |
| (3; 7; 0) | (1; -3; 4) | 4 – 2
| –2 +
| |
| (-1; 2; -1) | (2; -7; 1) | 6 – 2
| –3 +
| |
| (7; 9; -2) | (5; 4; 3) | 4 –
| – + 4
| |
| (5; 0; -2) | (6; 4; 3) | 5 – 3
| –10 + 6
| |
| (8; 3; -1) | (4; 1; 3) | 2 –
| –4 + 2
| |
| (3; -1; 6) | (5; 7; 10) | 4 – 2
| –2 +
| |
| (1; -2; 4) | (7; 3; 5) | 6 – 3
| –2 +
|
Äàíû òî÷êè À( 
), B( 
), C( 
). Íàéòè äëèíû âåêòîðîâ 
è 
; ñêàëÿðíîå ïðîèçâåäåíèå · ; à òàêæå óãîë ìåæäó íèìè. Âû÷èñëèòü 
.
Òàáëèöà 3.2 – Èñõîäíûå äàííûå
| ¹ âàð. | A
( )
| B
( )
| C
( )
|
| (7; 0; 2) | (7; 1; 3) | (8; -1; 2) | |
| (2; 3; 2) | (-1; -3; -1) | (-3; -7; -3) | |
| (2; 2; 7) | (0; 0; 6) | (-2; 5; 7) | |
| (-1; 2; -3) | (0; 1; -2) | (-3; 4; -5) | |
| (0; 3; -6) | (9; 3; 6) | (12; 3; 3) | |
| (3; 3; -1) | (5; 1; -2) | (4; 1; -3) | |
| (-2; 1; 1) | (2; 3; -2) | (0; 0; 3) | |
| (1; 4; -1) | (-2; 4; -5) | (8; 4; 0) |
Ïðîäîëæåíèå òàáëèöû 3.2
| (0; 1; 0) | (0; 2; 1) | (1; 2; 0) | |||
| (-4; 0; 4) | (-1; 6; 7) | (1; 10; 9) | |||
| (1; -2; 3) | (0; -1; 2) | (3; -4; 5) | |||
| (0; -3; 6) | (-12; -3; -3) | (-9; -3; -6) | |||
| (3; 3; -1) | (5; 5; -2) | (4; 1; 1) | |||
| (-1; 2; -3) | (3; 4; -6) | (1; 1; -1) | |||
| (-4; -2; 0) | (-1; -2; 4) | (3; -2; 1) | |||
| (5; 3; -1) | (5; 2; 0) | (6; 4; -1) | |||
| (-3; -7; -5) | (0; -1; -2) | (2; 3; 0) | |||
| (2; -4; 6) | (0; -2; 4) | (6; -8; 10) | |||
| (0; 1; -2) | (3; 1; 2) | (4; 1; 1) | |||
| (3; 3; -1) | (1; 5; -2) | (4; 1; 1) | |||
| (2; 1; -1) | (6; -1; -4) | (4; 2; 1) | |||
| (-1; -2; 1) | (-4; -2; 5) | (-8; -2; 2) | |||
| (6; 2; -3) | (6; 3; -2) | (7; 3; -3) | |||
| (0; 0; 4) | (-3; -6; 1) | (-5; -10; -1) | |||
| (2; -8; -1) | (4; -6; 0) | (-2; -5; -1) | |||
| (3; -6; 9) | (0; -3; 6) | (9; -12; 15) | |||
| (0; 2; -4) | (8; 2; 2) | (6; 2; 4) | |||
| (3; 3; -1) | (5; 1; -2) | (4; 1; 1) | |||
| (-4; 3; 0) | (0; 1; 3) | (-2; 4; -2) | |||
| (1; -1; 0) | (-2; -1; 4) | (8; -1; -1) | |||
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