1
00:00:00,840 --> 00:00:03,270
Giờ tôi có 2 véc tơ khác véctơ 0.

2
00:00:05,137 --> 00:00:07,005
Véc tơ đầu là x, cái thứ 2 là y.

3
00:00:09,920 --> 00:00:10,757
Chúng đều thuộc một tập.

4
00:00:11,595 --> 00:00:13,270
Chúng đều thuộc tập Rn và chúng khác 0.

5
00:00:17,450 --> 00:00:22,133
Giá trị tuyệt đối của chúng. Để tôi

6
00:00:22,133 --> 00:00:25,320
đổi màu khác

7
00:00:25,320 --> 00:00:26,800
Màu này đẹp đấy

8
00:00:26,800 --> 00:00:31,080
Giá trị tuyệt đối tích vô hướng

9
00:00:31,080 --> 00:00:35,280
của 2 véc tơ - và nhớ rằng đây chỉ là một giá trị vô hướng -

10
00:00:35,280 --> 00:00:40,840
nhỏ hơn hoặc băng tích độ dài của chúng

11
00:00:40,840 --> 00:00:43,140
Và chúng ta đã định nghĩa tích vô hướng và

12
00:00:43,140 --> 00:00:44,230
độ dài rồi.

13
00:00:44,230 --> 00:00:47,390
Nhỏ hơn hoặc bằng tích độ dài và

14
00:00:47,390 --> 00:00:50,730
tiến xa hơn, dấu bằng xảy ra khi và chỉ khi chúng

15
00:00:50,730 --> 00:00:57,930
bằng nhau, vậy tích vô hướng của 2 véc tơ chỉ

16
00:00:57,930 --> 00:01:01,575
bằng độ dài cái này - bằng hoặc nhỏ hơn

17
00:01:01,575 --> 00:01:05,470
chỉ áp dụng trong một trường hợp - để tôi viết

18
00:01:05,470 --> 00:01:11,460
xuống - khi một trong 2 véc tơ là

19
00:01:11,460 --> 00:01:11,920


20
00:01:11,920 --> 00:01:13,580


21
00:01:13,580 --> 00:01:16,430


22
00:01:16,430 --> 00:01:17,530


23
00:01:17,530 --> 00:01:22,250


24
00:01:22,250 --> 00:01:24,875


25
00:01:27,970 --> 00:01:30,760


26
00:01:30,760 --> 00:01:33,215


27
00:01:33,215 --> 00:01:43,200


28
00:01:43,200 --> 00:01:45,580


29
00:01:45,580 --> 00:01:46,680


30
00:01:46,680 --> 00:01:49,040


31
00:01:49,040 --> 00:01:53,280


32
00:01:53,280 --> 00:01:58,180


33
00:01:58,180 --> 00:02:00,410


34
00:02:00,410 --> 00:02:04,710


35
00:02:04,710 --> 00:02:12,420


36
00:02:12,420 --> 00:02:15,880


37
00:02:15,880 --> 00:02:17,300


38
00:02:17,300 --> 00:02:19,320


39
00:02:19,320 --> 00:02:20,920


40
00:02:20,920 --> 00:02:23,130


41
00:02:23,130 --> 00:02:23,790


42
00:02:23,790 --> 00:02:29,740


43
00:02:29,740 --> 00:02:32,890


44
00:02:32,890 --> 00:02:36,820


45
00:02:36,820 --> 00:02:39,150


46
00:02:39,150 --> 00:02:42,940


47
00:02:42,940 --> 00:02:45,340


48
00:02:45,340 --> 00:02:46,640


49
00:02:46,640 --> 00:02:49,550


50
00:02:49,550 --> 00:02:50,770


51
00:02:50,770 --> 00:02:52,290


52
00:02:52,290 --> 00:02:53,670


53
00:02:53,670 --> 00:02:55,840


54
00:02:55,840 --> 00:02:57,370


55
00:02:57,370 --> 00:02:59,270


56
00:02:59,270 --> 00:03:02,930


57
00:03:02,930 --> 00:03:04,180


58
00:03:04,180 --> 00:03:06,690


59
00:03:06,690 --> 00:03:11,230


60
00:03:11,230 --> 00:03:14,400


61
00:03:14,400 --> 00:03:18,860


62
00:03:18,860 --> 00:03:22,950


63
00:03:22,950 --> 00:03:24,570


64
00:03:24,570 --> 00:03:26,830


65
00:03:29,920 --> 00:03:32,750


66
00:03:32,750 --> 00:03:34,230


67
00:03:34,230 --> 00:03:44,880


68
00:03:44,880 --> 00:03:49,120


69
00:03:49,120 --> 00:03:52,050


70
00:03:52,050 --> 00:03:54,330


71
00:03:54,330 --> 00:03:57,420


72
00:03:57,420 --> 00:03:58,330


73
00:03:58,330 --> 00:04:00,200


74
00:04:00,200 --> 00:04:02,340


75
00:04:02,340 --> 00:04:05,440


76
00:04:05,440 --> 00:04:07,360


77
00:04:07,360 --> 00:04:11,030


78
00:04:11,030 --> 00:04:13,760


79
00:04:13,760 --> 00:04:15,480


80
00:04:15,480 --> 00:04:18,149


81
00:04:18,149 --> 00:04:19,220


82
00:04:19,220 --> 00:04:24,730


83
00:04:24,730 --> 00:04:25,850


84
00:04:25,850 --> 00:04:30,850


85
00:04:30,850 --> 00:04:36,430


86
00:04:36,430 --> 00:04:42,580


87
00:04:42,580 --> 00:04:44,640


88
00:04:44,640 --> 00:04:45,720


89
00:04:45,720 --> 00:04:52,400


90
00:04:52,400 --> 00:04:58,810


91
00:04:58,810 --> 00:05:04,860


92
00:05:04,860 --> 00:05:08,900


93
00:05:08,900 --> 00:05:12,680


94
00:05:12,680 --> 00:05:16,080


95
00:05:16,080 --> 00:05:21,500


96
00:05:21,500 --> 00:05:26,260


97
00:05:26,260 --> 00:05:26,860


98
00:05:26,860 --> 00:05:29,940


99
00:05:29,940 --> 00:05:30,710


100
00:05:30,710 --> 00:05:32,890


101
00:05:32,890 --> 00:05:35,410


102
00:05:35,410 --> 00:05:38,230


103
00:05:38,230 --> 00:05:45,430


104
00:05:45,430 --> 00:05:46,680


105
00:05:49,270 --> 00:05:50,750


106
00:05:50,750 --> 00:05:52,810


107
00:05:52,810 --> 00:05:55,370


108
00:05:55,370 --> 00:05:57,290


109
00:05:57,290 --> 00:06:06,260


110
00:06:06,260 --> 00:06:09,230


111
00:06:09,230 --> 00:06:13,080


112
00:06:13,080 --> 00:06:16,570


113
00:06:16,570 --> 00:06:17,400


114
00:06:17,400 --> 00:06:20,070


115
00:06:20,070 --> 00:06:25,140


116
00:06:25,140 --> 00:06:27,740


117
00:06:27,740 --> 00:06:29,690


118
00:06:29,690 --> 00:06:32,820


119
00:06:32,820 --> 00:06:35,620


120
00:06:35,620 --> 00:06:37,880


121
00:06:37,880 --> 00:06:38,490


122
00:06:38,490 --> 00:06:41,990


123
00:06:41,990 --> 00:06:44,620


124
00:06:44,620 --> 00:06:46,070


125
00:06:46,070 --> 00:06:47,450


126
00:06:47,450 --> 00:06:52,620


127
00:06:52,620 --> 00:06:54,990


128
00:06:54,990 --> 00:06:56,590


129
00:06:56,590 --> 00:06:59,280


130
00:06:59,280 --> 00:07:02,480


131
00:07:02,480 --> 00:07:07,860


132
00:07:07,860 --> 00:07:10,380


133
00:07:10,380 --> 00:07:11,780


134
00:07:11,780 --> 00:07:17,020


135
00:07:17,020 --> 00:07:17,825


136
00:07:17,825 --> 00:07:20,130


137
00:07:20,130 --> 00:07:22,060


138
00:07:22,060 --> 00:07:29,910


139
00:07:29,910 --> 00:07:35,480


140
00:07:39,180 --> 00:07:41,050


141
00:07:41,050 --> 00:07:41,780


142
00:07:41,780 --> 00:07:43,660


143
00:07:43,660 --> 00:07:44,270


144
00:07:44,270 --> 00:07:47,125


145
00:07:47,125 --> 00:07:50,890


146
00:07:50,890 --> 00:07:51,530


147
00:07:51,530 --> 00:07:53,995


148
00:08:00,640 --> 00:08:05,190


149
00:08:05,190 --> 00:08:07,570


150
00:08:07,570 --> 00:08:10,700


151
00:08:10,700 --> 00:08:13,850


152
00:08:13,850 --> 00:08:16,290


153
00:08:16,290 --> 00:08:18,680


154
00:08:18,680 --> 00:08:21,610


155
00:08:21,610 --> 00:08:23,790


156
00:08:23,790 --> 00:08:25,710


157
00:08:25,710 --> 00:08:27,310


158
00:08:27,310 --> 00:08:30,880


159
00:08:30,880 --> 00:08:31,450


160
00:08:31,450 --> 00:08:32,309


161
00:08:32,309 --> 00:08:34,990


162
00:08:34,990 --> 00:08:37,049


163
00:08:37,049 --> 00:08:39,200


164
00:08:39,200 --> 00:08:42,110


165
00:08:42,110 --> 00:08:45,230


166
00:08:45,230 --> 00:08:49,340


167
00:08:49,340 --> 00:08:52,090


168
00:08:52,090 --> 00:08:55,270


169
00:08:55,270 --> 00:08:58,760


170
00:08:58,760 --> 00:09:01,650


171
00:09:01,650 --> 00:09:03,780


172
00:09:03,780 --> 00:09:05,130


173
00:09:05,130 --> 00:09:07,870


174
00:09:07,870 --> 00:09:12,080


175
00:09:12,080 --> 00:09:15,290


176
00:09:15,290 --> 00:09:18,480


177
00:09:18,480 --> 00:09:26,150


178
00:09:26,150 --> 00:09:27,650


179
00:09:27,650 --> 00:09:31,730


180
00:09:31,730 --> 00:09:33,440


181
00:09:33,440 --> 00:09:36,810


182
00:09:36,810 --> 00:09:38,010


183
00:09:38,010 --> 00:09:41,110


184
00:09:41,110 --> 00:09:43,050


185
00:09:43,050 --> 00:09:44,660


186
00:09:44,660 --> 00:09:45,670


187
00:09:45,670 --> 00:09:50,050


188
00:09:50,050 --> 00:09:52,600


189
00:09:52,600 --> 00:09:54,930


190
00:09:54,930 --> 00:10:01,200


191
00:10:01,200 --> 00:10:02,710


192
00:10:02,710 --> 00:10:06,570


193
00:10:06,570 --> 00:10:11,490


194
00:10:11,490 --> 00:10:16,260


195
00:10:16,260 --> 00:10:17,720


196
00:10:17,720 --> 00:10:19,570


197
00:10:19,570 --> 00:10:21,760


198
00:10:21,760 --> 00:10:24,470


199
00:10:24,470 --> 00:10:28,380


200
00:10:28,380 --> 00:10:30,060


201
00:10:30,060 --> 00:10:32,660


202
00:10:32,660 --> 00:10:35,790


203
00:10:35,790 --> 00:10:37,970


204
00:10:37,970 --> 00:10:39,220


205
00:10:41,440 --> 00:10:43,020


206
00:10:43,020 --> 00:10:44,130


207
00:10:44,130 --> 00:10:46,070


208
00:10:46,070 --> 00:10:49,670


209
00:10:49,670 --> 00:10:51,170


210
00:10:51,170 --> 00:10:53,460


211
00:10:53,460 --> 00:10:55,510


212
00:10:55,510 --> 00:10:57,690


213
00:10:57,690 --> 00:10:59,910


214
00:10:59,910 --> 00:11:00,380


215
00:11:00,380 --> 00:11:07,750


216
00:11:07,750 --> 00:11:08,160


217
00:11:08,160 --> 00:11:09,890


218
00:11:09,890 --> 00:11:13,400


219
00:11:13,400 --> 00:11:16,830


220
00:11:16,830 --> 00:11:19,450


221
00:11:19,450 --> 00:11:20,320


222
00:11:20,320 --> 00:11:21,970


223
00:11:21,970 --> 00:11:24,470


224
00:11:24,470 --> 00:11:30,030


225
00:11:30,030 --> 00:11:33,420


226
00:11:33,420 --> 00:11:39,470


227
00:11:39,470 --> 00:11:40,490


228
00:11:40,490 --> 00:11:42,760


229
00:11:42,760 --> 00:11:45,690


230
00:11:45,690 --> 00:11:46,800


231
00:11:46,800 --> 00:11:49,760


232
00:11:49,760 --> 00:11:53,640


233
00:11:53,640 --> 00:11:56,200


234
00:11:56,200 --> 00:11:57,420


235
00:11:57,420 --> 00:12:01,030


236
00:12:01,030 --> 00:12:03,920


237
00:12:03,920 --> 00:12:06,760


238
00:12:06,760 --> 00:12:14,610


239
00:12:14,610 --> 00:12:17,880


240
00:12:17,880 --> 00:12:19,620


241
00:12:19,620 --> 00:12:21,200


242
00:12:21,200 --> 00:12:23,240


243
00:12:23,240 --> 00:12:25,220


244
00:12:25,220 --> 00:12:27,620


245
00:12:27,620 --> 00:12:34,870


246
00:12:34,870 --> 00:12:37,660


247
00:12:37,660 --> 00:12:46,270


248
00:12:46,270 --> 00:12:54,620


249
00:12:54,620 --> 00:12:56,510


250
00:12:56,510 --> 00:13:01,090


251
00:13:01,090 --> 00:13:02,950


252
00:13:02,950 --> 00:13:04,600


253
00:13:04,600 --> 00:13:06,250


254
00:13:06,250 --> 00:13:08,050


255
00:13:08,050 --> 00:13:09,840


256
00:13:09,840 --> 00:13:13,040


257
00:13:13,040 --> 00:13:15,380


258
00:13:15,380 --> 00:13:16,840


259
00:13:16,840 --> 00:13:18,325


260
00:13:18,325 --> 00:13:21,150


261
00:13:21,150 --> 00:13:28,010


262
00:13:28,010 --> 00:13:29,570


263
00:13:29,570 --> 00:13:31,650


264
00:13:31,650 --> 00:13:33,480


265
00:13:33,480 --> 00:13:34,400


266
00:13:34,400 --> 00:13:36,600


267
00:13:36,600 --> 00:13:38,260


268
00:13:38,260 --> 00:13:42,640


269
00:13:42,640 --> 00:13:44,370


270
00:13:44,370 --> 00:13:46,060


271
00:13:46,060 --> 00:13:51,060


272
00:13:51,060 --> 00:13:51,755


273
00:13:51,755 --> 00:13:55,520


274
00:13:55,520 --> 00:13:56,710


275
00:13:56,710 --> 00:13:57,960


276
00:13:57,960 --> 00:14:02,050


277
00:14:02,050 --> 00:14:04,070


278
00:14:04,070 --> 00:14:07,130


279
00:14:07,130 --> 00:14:08,965


280
00:14:08,965 --> 00:14:10,590


281
00:14:10,590 --> 00:14:12,000


282
00:14:12,000 --> 00:14:15,800


283
00:14:15,800 --> 00:14:19,510


284
00:14:19,510 --> 00:14:21,586


285
00:14:27,600 --> 00:14:36,630


286
00:14:36,630 --> 00:14:39,640


287
00:14:39,640 --> 00:14:41,385


288
00:14:41,385 --> 00:14:45,930


289
00:14:45,930 --> 00:14:48,520


290
00:14:48,520 --> 00:14:51,080


291
00:14:51,080 --> 00:14:52,850


292
00:14:52,850 --> 00:14:59,160


293
00:14:59,160 --> 00:15:00,730


294
00:15:00,730 --> 00:15:04,800


295
00:15:04,800 --> 00:15:07,910


296
00:15:07,910 --> 00:15:10,970


297
00:15:10,970 --> 00:15:22,320


298
00:15:22,320 --> 00:15:24,210


299
00:15:24,210 --> 00:15:31,260


300
00:15:31,260 --> 00:15:34,986


301
00:15:40,000 --> 00:15:44,290


302
00:15:44,290 --> 00:15:46,610


303
00:15:46,610 --> 00:15:49,790


304
00:15:49,790 --> 00:15:51,630


305
00:15:51,630 --> 00:15:52,300


306
00:15:52,300 --> 00:15:54,180


307
00:15:54,180 --> 00:15:56,050


308
00:15:56,050 --> 00:16:01,530


309
00:16:01,530 --> 00:16:06,600


310
00:16:06,600 --> 00:16:10,620


311
00:16:10,620 --> 00:16:11,580


312
00:16:11,580 --> 00:16:13,920


313
00:16:13,920 --> 00:16:19,370


314
00:16:19,370 --> 00:16:21,360


315
00:16:21,360 --> 00:16:24,650


316
00:16:24,650 --> 00:16:28,510


317
00:16:28,510 --> 00:16:29,540


318
00:16:29,540 --> 00:16:31,600


319
00:16:31,600 --> 00:16:32,370


320
00:16:32,370 --> 00:16:35,720


321
00:16:35,720 --> 00:16:39,270


322
00:16:39,270 --> 00:16:41,890


323
00:16:41,890 --> 00:16:43,790


324
00:16:43,790 --> 00:16:47,180


325
00:16:47,180 --> 00:16:49,580


326
00:16:49,580 --> 00:16:51,250


327
00:16:51,250 --> 00:16:53,960


328
00:16:53,960 --> 00:16:55,500