→A.→B = (ˆi + 3ˆj - 2ˆk) . (4ˆi - 2ˆj + 4ˆk)
To calculate the dot product, we multiply the corresponding components and add them together:
(1)(4) + (3)(-2) + (-2)(4) = 4 - 6 - 8 = -10
Therefore, →A.→B = -10.
1 x Booting (67.48%) | 86.49ms |
1 x Application (32.51%) | 41.67ms |
select `id`, `view_count`, `main_category_id` from `questions` where `questions`.`id` = '95336' and `questions`.`deleted_at` is null limit 1
Bindings |
|
Backtrace |
|
update `questions` set `view_count` = `view_count` + 1 where `id` = 95336
Bindings |
|
Backtrace |
|
select `id`, `view_count`, `vote`, `subject_id`, `category_id`, `sub_category_id`, `board_exam_id`, `passage_id`, `question_type`, `question`, `is_duplicate`, `status`, `image`, `meta_og_image`, `meta_og_title`, `meta_keyword`, `created_at`, `updated_at`, exists(select * from `review_contents` where `questions`.`id` = `review_contents`.`reviewable_id` and `review_contents`.`reviewable_type` = 'App\\Models\\Question') as `review_content_exists` from `questions` where `id` = '95336' and `questions`.`deleted_at` is null limit 1
Bindings |
|
Backtrace |
|
select `id`, `question_id`, `option_1`, `option_2`, `option_3`, `option_4`, `option_5`, `image_option`, `image_question`, `answer` from `question_options` where `question_options`.`question_id` in (95336) and `question_options`.`deleted_at` is null
Backtrace |
|
select `id`, `title`, `passage` from `passages` where `passages`.`id` in (0) and `passages`.`deleted_at` is null
Backtrace |
|
select `id`, `name`, `slug`, `meta_og_image` from `sub_categories` where `sub_categories`.`id` in (4441) and `sub_categories`.`deleted_at` is null
Backtrace |
|
select `id`, `name`, `des_updated_by`, `des_added_by`, `link_subject_id`, `slug` from `subjects` where `subjects`.`id` in (75) and `subjects`.`deleted_at` is null
Backtrace |
|
select `id`, `description`, `subject_id` from `subject_descriptions` where `subject_descriptions`.`subject_id` in (75) and `subject_descriptions`.`deleted_at` is null
Backtrace |
|
select `subjects`.`id`, `subjects`.`name`, `subjects`.`slug`, `subjectables`.`subjectable_id` as `pivot_subjectable_id`, `subjectables`.`subject_id` as `pivot_subject_id`, `subjectables`.`subjectable_type` as `pivot_subjectable_type`, `subjectables`.`created_user_id` as `pivot_created_user_id`, `subjectables`.`deleted_at` as `pivot_deleted_at`, `subjectables`.`status` as `pivot_status`, `subjectables`.`created_at` as `pivot_created_at`, `subjectables`.`updated_at` as `pivot_updated_at` from `subjects` inner join `subjectables` on `subjects`.`id` = `subjectables`.`subject_id` where `subjectables`.`subjectable_id` in (95336) and `subjectables`.`subjectable_type` = 'App\\Models\\Question' and `subjects`.`deleted_at` is null
Bindings |
|
Backtrace |
|
select * from `vote_statistics` where `vote_statistics`.`question_id` in (95336)
Backtrace |
|
select * from `descriptions` where `descriptions`.`descriptionable_id` in (95336) and `descriptions`.`descriptionable_type` = 'App\\Models\\Question' and `status` in ('approve', 'active') and `descriptions`.`deleted_at` is null order by `vote` desc
Bindings |
|
Backtrace |
|
select `id`, `name`, `avatar` from `users` where `users`.`id` in (72420) and `users`.`deleted_at` is null
Backtrace |
|
select `id`, `bookmarkable_id`, `bookmarkable_type`, `user_id` from `bookmarks` where `bookmarks`.`bookmarkable_id` in (95336) and `bookmarks`.`bookmarkable_type` = 'App\\Models\\Question' and `user_id` is null
Bindings |
|
Backtrace |
|
select `id`, `votable_id`, `votable_type`, `user_id` from `votes` where `votes`.`votable_id` in (95336) and `votes`.`votable_type` = 'App\\Models\\Question' and `user_id` is null
Bindings |
|
Backtrace |
|
select `id`, `question_id`, `user_id`, `choosen_option` from `vote_logs` where `vote_logs`.`question_id` in (95336) and `user_id` is null
Backtrace |
|
select `subjectable_id` from `subjectables` where `subjectable_type` = 'App\\Models\\Question' and `subject_id` in (2239)
Bindings |
|
Backtrace |
|
select `id`, `view_count`, `vote`, `subject_id`, `category_id`, `sub_category_id`, `board_exam_id`, `passage_id`, `question_type`, `question`, `is_duplicate`, `status`, `image`, `created_at`, `updated_at` from `questions` where `id` in (83784, 84477, 110088, 110407, 110640, 110907, 120860, 120937, 121823, 121898, 122099, 122420, 133353, 143083, 144176, 144572, 145651, 146260, 169342, 206704, 207077, 207613, 207840, 210017, 210229, 212994, 231177, 231269, 231461, 232169, 83966, 84157, 93996, 94515, 94528, 99199, 109583, 110092, 110483, 120599, 121597, 122098, 131829, 133336, 133824, 133966, 142699, 142948, 143585, 145200, 145635, 154953, 183802, 183855, 194124, 198137, 206013, 208546, 231524, 231675, 232401, 232718, 234323, 234939, 234952, 83800, 95025, 99663, 125330, 180461, 180717, 180888, 181158, 200508, 204502, 212401, 99086, 110238, 142576, 145190, 180660, 184688, 191443, 191838, 192000, 200153, 231317, 231725, 232823, 237010, 123657, 216236, 84022, 84144, 89526, 95137, 95482, 98070, 99082, 99329, 99547, 99672, 99761, 121173, 122409, 122613, 123938, 124250, 124546, 124951, 131572, 131585, 133968, 142605, 155680, 181164, 182034, 183857, 191318, 191615, 198157, 199903, 199919, 200148, 202301, 205827, 206711, 208544, 211704, 215914, 218068, 235321, 237125, 83974, 110651, 121995, 143066, 143795, 155020, 155096, 169343, 169492, 180459, 180674, 181388, 181623, 192179, 199622, 200155, 208173, 212414, 236436, 242682, 93990, 242681, 242228, 208439, 167845, 89804, 207786, 210244, 184099, 201957, 132205, 134158, 99746, 236865, 142614, 144303, 110187, 206608, 130964, 203210, 85263, 198161, 183804, 182125, 198700, 180454, 205601, 205730, 144045, 213787, 99585, 209776, 95552, 206134, 200437, 111351, 207082, 94050, 191835, 145123, 206145, 143525, 185087, 95336, 142866, 143892, 180132, 143646, 208158, 198621, 131570, 244432, 242034, 240926, 241816, 242338, 241977, 242032, 242033, 239672, 242716, 241842, 242031, 241245, 241138, 240615, 241653, 239671, 240637, 198604, 199477, 192676, 192187, 99660, 202727, 99124, 236497, 99748, 197836, 236543, 180887, 236617, 145512, 200572, 201771, 99869, 234219, 110429, 99483, 195772, 211774, 211691, 122208, 154080, 129543, 195775, 197413, 197414, 154874, 181978, 170733, 145311, 199635, 142861, 180347, 235254, 236852, 121895, 192745, 221975, 200580, 211840, 130121, 123840, 191679, 134157, 235762, 212180, 192379, 207534, 211700, 211783, 85060, 212175, 131605, 98077, 234924, 192609, 96111, 199718, 131520, 180176, 125240, 102243, 126786, 213508, 99534, 169429, 169754, 236966, 180348, 99649, 213478, 183803, 169511, 237235, 204198, 144204, 183785, 134144, 213172, 199402, 97779, 210415, 111049, 95081, 124919, 208131, 85281, 85281, 202695, 143544, 121818, 133762, 185257, 131819, 95986, 206426, 206477, 125752, 192489, 134538, 202194, 84067, 99775, 207552, 168889, 216375, 143010, 132931, 131079, 232642, 191681, 84687, 95301, 120653, 121017, 237189, 99094, 197759, 192909, 210026, 208465, 234754, 182431, 144549, 132203, 199846, 192229, 145220, 191816, 99074, 204656, 85526, 205743, 212527, 96129, 110409, 133639, 203243, 429507, 429508, 429509, 429510, 429511, 429512, 429513, 429514, 429515, 429516, 429517, 429518, 429519, 429520, 429521, 429522, 429523, 429524, 429525, 429526, 429527, 429528, 429529, 429530, 429531, 429532, 429533, 429534, 429535, 429536, 429537, 429538, 429539, 429540, 429541, 429542, 429543, 429544, 429545, 429546, 429547, 429548, 429549, 429550, 429551, 429552, 429553, 429554, 429555, 429556, 429557, 429558, 429559, 429560, 429561, 429562, 429563, 429564, 429565, 429566, 429568, 429569, 429570, 429571, 429572, 429573, 429574, 429575, 429576, 429577, 429578, 429579, 429580, 429581, 429582, 429583, 429584, 429585, 429586, 429587, 429588, 429589, 429590, 429591, 429592, 429593, 429594, 429595, 429596, 429597, 429598, 429599, 429600, 429601, 429602, 429603, 429604, 429605, 429606, 429607, 429608, 369429, 369430, 369433, 369435, 369436, 369437, 369438, 369439, 369440) and `id` != 95336 and `questions`.`deleted_at` is null order by `created_at` desc limit 6
Bindings |
|
Backtrace |
|
select * from `question_options` where `question_options`.`question_id` in (429603, 429604, 429605, 429606, 429607, 429608) and `question_options`.`deleted_at` is null
Backtrace |
|
select `id`, `name`, `slug` from `subjects` where `subjects`.`id` in (75) and `subjects`.`deleted_at` is null
Backtrace |
|
select `id`, `name`, `slug` from `sub_categories` where `sub_categories`.`id` in (4878) and `sub_categories`.`deleted_at` is null
Backtrace |
|
select `id`, `name` from `categories` where `categories`.`id` in (130) and `categories`.`deleted_at` is null
Backtrace |
|
select `subjects`.`id`, `subjects`.`name`, `subjects`.`slug`, `subjectables`.`subjectable_id` as `pivot_subjectable_id`, `subjectables`.`subject_id` as `pivot_subject_id`, `subjectables`.`subjectable_type` as `pivot_subjectable_type`, `subjectables`.`created_user_id` as `pivot_created_user_id`, `subjectables`.`deleted_at` as `pivot_deleted_at`, `subjectables`.`status` as `pivot_status`, `subjectables`.`created_at` as `pivot_created_at`, `subjectables`.`updated_at` as `pivot_updated_at` from `subjects` inner join `subjectables` on `subjects`.`id` = `subjectables`.`subject_id` where `subjectables`.`subjectable_id` in (429603, 429604, 429605, 429606, 429607, 429608) and `subjectables`.`subjectable_type` = 'App\\Models\\Question' and `subjects`.`deleted_at` is null
Bindings |
|
Backtrace |
|
select * from `vote_statistics` where `vote_statistics`.`question_id` in (429603, 429604, 429605, 429606, 429607, 429608)
Backtrace |
|
select `id`, `bookmarkable_id`, `bookmarkable_type`, `user_id` from `bookmarks` where `bookmarks`.`bookmarkable_id` in (429603, 429604, 429605, 429606, 429607, 429608) and `bookmarks`.`bookmarkable_type` = 'App\\Models\\Question' and `user_id` is null
Bindings |
|
Backtrace |
|
select `id`, `votable_id`, `votable_type`, `user_id` from `votes` where `votes`.`votable_id` in (429603, 429604, 429605, 429606, 429607, 429608) and `votes`.`votable_type` = 'App\\Models\\Question' and `user_id` is null
Bindings |
|
Backtrace |
|
select `id`, `question_id`, `user_id`, `choosen_option` from `vote_logs` where `vote_logs`.`question_id` in (429603, 429604, 429605, 429606, 429607, 429608) and `user_id` is null
Backtrace |
|
select * from `categories` where `categories`.`id` = 113 and `categories`.`deleted_at` is null limit 1
Bindings |
|
Backtrace |
|
select `id`, `vote_type` from `votes` where (`votable_type` = 'App\\Models\\Description' and `user_id` is null and `votable_id` = 156980) limit 1
Bindings |
|
Backtrace |
|
select * from `package_plans` where `status` = 'active' and `package_plans`.`deleted_at` is null
Bindings |
|
Backtrace |
|
200
0 of 0array:1 [▼ "ques_id" => "95336" ]
[]
0 of 0array:21 [▼ "x-https" => array:1 [▶ 0 => "1" ] "cookie" => array:1 [▶ 0 => "XSRF-TOKEN=eyJpdiI6ImNhLzdDSjB4eWF0RkR5UHo5OVRCNlE9PSIsInZhbHVlIjoiNlFGYWhTSS9HUU9pTTZpc0paL2F0TVR6ZXhmV1VCaHhHUEdrV0JFR3JFSVF4RVNmSlRTOTVWRnZrVFhubkp2aE9KNFVvTC93akNvT0JBK2t6bDArckVEMk9QY1ZqT3hvQ2Z2VGpreXF5elVWRkhuaTVBQ0gybE1YZ2ZFWk9xV0EiLCJtYWMiOiI4MmFlMzFjODQyZDViZmY2MmNkNDIwYzE3YTQ4MjNkNWVjZTNmZjJlNjI1Y2FkNzczZDMyNTIwMmEyNmMzZDc5IiwidGFnIjoiIn0%3D; satt_academy_session=eyJpdiI6IkhvbXowTXErWDVWd0RqWTZNQ21NQmc9PSIsInZhbHVlIjoiM2E0aEZHdEFIeUI4cXh4TjIxOTdoWWo3TlQ1ZW5Rb2lyZy9qNXVmWktRRitEek14aUtZUG4xUWlsZjZZRG5EWUY2MXRURGtGMHRPenFLcWRzbTZrVFlBOG9YVW9PNHlrVWRBbFFGM3Ewc2pyemdIeEExUlM2TXNPV0NpQnZIVXIiLCJtYWMiOiI5MWZhZDBjZWU0MmRhMzg1NWM1YTA3YmRmYTJkMGMyYTI1NmJjMWYzMDNjZmQ5OGYyMGJmODAxNWRhMzMwNTkyIiwidGFnIjoiIn0%3D ◀XSRF-TOKEN=eyJpdiI6ImNhLzdDSjB4eWF0RkR5UHo5OVRCNlE9PSIsInZhbHVlIjoiNlFGYWhTSS9HUU9pTTZpc0paL2F0TVR6ZXhmV1VCaHhHUEdrV0JFR3JFSVF4RVNmSlRTOTVWRnZrVFhubkp2aE9KNFVvT ▶" ] "sec-fetch-dest" => array:1 [▶ 0 => "document" ] "sec-fetch-user" => array:1 [▶ 0 => "?1" ] "sec-fetch-mode" => array:1 [▶ 0 => "navigate" ] "sec-fetch-site" => array:1 [▶ 0 => "none" ] "accept" => array:1 [▶ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [▶ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [▶ 0 => "1" ] "sec-ch-ua-platform" => array:1 [▶ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [▶ 0 => "?0" ] "sec-ch-ua" => array:1 [▶ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [▶ 0 => "no-cache" ] "pragma" => array:1 [▶ 0 => "no-cache" ] "x-real-ip" => array:1 [▶ 0 => "18.119.11.179" ] "x-forwarded-server" => array:1 [▶ 0 => "debugerror.xyz" ] "x-forwarded-proto" => array:1 [▶ 0 => "https" ] "x-forwarded-port" => array:1 [▶ 0 => "443" ] "x-forwarded-host" => array:1 [▶ 0 => "debugerror.xyz" ] "x-forwarded-for" => array:1 [▶ 0 => "18.119.11.179" ] "host" => array:1 [▶ 0 => "debugerror.xyz" ] ]
0 of 0array:2 [▼ "XSRF-TOKEN" => "e52sfb9YBKMB4qGPP1SUH8ShgabyzplC5KBchJ7M" "satt_academy_session" => "ls5LyN4bfomhcWRdsohLymjOwcHcwxsyJ9LFJtpQ" ]
0 of 0array:7 [▼ "content-type" => array:1 [▶ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [▶ 0 => "no-cache, private" ] "date" => array:1 [▶ 0 => "Thu, 13 Mar 2025 04:51:58 GMT" ] "x-ratelimit-limit" => array:1 [▶ 0 => "60" ] "x-ratelimit-remaining" => array:1 [▶ 0 => "46" ] "set-cookie" => array:2 [▶ 0 => "XSRF-TOKEN=eyJpdiI6InBZTFRUdHBiYkdEZ1c2NmNUaFhyT2c9PSIsInZhbHVlIjoiZUQ0TmcrMWIyWm02STc5V0ZFcEZsWG9WWTRVSXNQb213Y1VVZHpHMDFzN1RzcTVubklLTDROVS81aGJxWFU0VDNvTEZuR2x5OUpWTXdYdXNTWFdPa2ltMTVSRXhuMC9MblgyUU01THdlNldEcGcvSTB6QkZ1amJuYzl2aHI2azgiLCJtYWMiOiJhM2Y2ZmFkZjU1ZDJjZjk4YjRmOWRhNDk5M2ZiMDJhMmQwOWI4NjRmNDQ4MGEwMDBkNjE1NTZkYzRkNzNjNTNjIiwidGFnIjoiIn0%3D; expires=Fri, 14 Mar 2025 04:51:58 GMT; Max-Age=86400; path=/; secure ◀XSRF-TOKEN=eyJpdiI6InBZTFRUdHBiYkdEZ1c2NmNUaFhyT2c9PSIsInZhbHVlIjoiZUQ0TmcrMWIyWm02STc5V0ZFcEZsWG9WWTRVSXNQb213Y1VVZHpHMDFzN1RzcTVubklLTDROVS81aGJxWFU0VDNvTEZuR ▶" 1 => "satt_academy_session=eyJpdiI6IlF3SC81eW5SSkM2bGNNdmt6c1V5THc9PSIsInZhbHVlIjoiS1QvMmt2V29DSW1QZkhTMjUzejViTXo0Szh6SzZyK0R2OTlxcHZWNzIvTGU4aGkxdEE0Y0R4eVRtVklxc0pZTlM3NXBjdHY5MHF5akJOZ24yUzJYbXIrQitZVGVNdWg1cXcvUldJMG5pL2l2aGN2akNGb0dPV3FIdlpLWmUyYjgiLCJtYWMiOiIwMzllMGZjY2QzMzU0YTlmZmQ2YjU0ZGUzYjM1MjkxZTBhMDc1ZTFkY2ZkN2I1NTMyMDQ3YTk3NTQ5MmE1MjQ3IiwidGFnIjoiIn0%3D; expires=Fri, 14 Mar 2025 04:51:58 GMT; Max-Age=86400; path=/; secure; httponly ◀satt_academy_session=eyJpdiI6IlF3SC81eW5SSkM2bGNNdmt6c1V5THc9PSIsInZhbHVlIjoiS1QvMmt2V29DSW1QZkhTMjUzejViTXo0Szh6SzZyK0R2OTlxcHZWNzIvTGU4aGkxdEE0Y0R4eVRtVklxc0p ▶" ] "Set-Cookie" => array:2 [▶ 0 => "XSRF-TOKEN=eyJpdiI6InBZTFRUdHBiYkdEZ1c2NmNUaFhyT2c9PSIsInZhbHVlIjoiZUQ0TmcrMWIyWm02STc5V0ZFcEZsWG9WWTRVSXNQb213Y1VVZHpHMDFzN1RzcTVubklLTDROVS81aGJxWFU0VDNvTEZuR2x5OUpWTXdYdXNTWFdPa2ltMTVSRXhuMC9MblgyUU01THdlNldEcGcvSTB6QkZ1amJuYzl2aHI2azgiLCJtYWMiOiJhM2Y2ZmFkZjU1ZDJjZjk4YjRmOWRhNDk5M2ZiMDJhMmQwOWI4NjRmNDQ4MGEwMDBkNjE1NTZkYzRkNzNjNTNjIiwidGFnIjoiIn0%3D; expires=Fri, 14-Mar-2025 04:51:58 GMT; path=/; secure ◀XSRF-TOKEN=eyJpdiI6InBZTFRUdHBiYkdEZ1c2NmNUaFhyT2c9PSIsInZhbHVlIjoiZUQ0TmcrMWIyWm02STc5V0ZFcEZsWG9WWTRVSXNQb213Y1VVZHpHMDFzN1RzcTVubklLTDROVS81aGJxWFU0VDNvTEZuR ▶" 1 => "satt_academy_session=eyJpdiI6IlF3SC81eW5SSkM2bGNNdmt6c1V5THc9PSIsInZhbHVlIjoiS1QvMmt2V29DSW1QZkhTMjUzejViTXo0Szh6SzZyK0R2OTlxcHZWNzIvTGU4aGkxdEE0Y0R4eVRtVklxc0pZTlM3NXBjdHY5MHF5akJOZ24yUzJYbXIrQitZVGVNdWg1cXcvUldJMG5pL2l2aGN2akNGb0dPV3FIdlpLWmUyYjgiLCJtYWMiOiIwMzllMGZjY2QzMzU0YTlmZmQ2YjU0ZGUzYjM1MjkxZTBhMDc1ZTFkY2ZkN2I1NTMyMDQ3YTk3NTQ5MmE1MjQ3IiwidGFnIjoiIn0%3D; expires=Fri, 14-Mar-2025 04:51:58 GMT; path=/; secure; httponly ◀satt_academy_session=eyJpdiI6IlF3SC81eW5SSkM2bGNNdmt6c1V5THc9PSIsInZhbHVlIjoiS1QvMmt2V29DSW1QZkhTMjUzejViTXo0Szh6SzZyK0R2OTlxcHZWNzIvTGU4aGkxdEE0Y0R4eVRtVklxc0p ▶" ] ]
0 of 0array:3 [▼ "_token" => "e52sfb9YBKMB4qGPP1SUH8ShgabyzplC5KBchJ7M" "_previous" => array:1 [▶ "url" => "https://debugerror.xyz/admission/single-question?ques_id=95336%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20" ] "_flash" => array:2 [▶ "old" => [] "new" => [] ] ]