[{"_1":2,"_319":-5,"_320":-5},"loaderData",{"_3":4,"_28":29,"_318":-5},"root",{"_5":6,"_24":25,"_26":27},"allTopics",[7],{"_8":9,"_10":11,"_12":13,"_14":15,"_16":17},"id",2,"title","قدرات عامة","slug","قدرات-عامة","description","اختبار القدرات للمرحلة الثانوية هو اختبار يقيس القدرة على الفهم والتطبيق والاستدلال والتحليل لدى الطالب من خلال اللغة والرياضيات، و معرفة قابلية الطالب للتعلم","metadata",{"_18":19,"_20":19,"_21":19,"_22":19,"_23":19},"support_dynamic_study_plan",true,"study_plan_based_on_section_level","placement_test_based_on_section_level","study_plan_based_on_topic_level","placement_test_based_on_topic_level","whiteLabelData",{},"isWhitelabeled",false,"routes/_visitor.question.$slug",{"_30":31,"_98":99,"_299":300,"_312":313,"_314":27,"_315":32,"_316":317},"loaderQuestion",{"_8":32,"_33":34,"_35":36,"_10":37,"_12":38,"_39":40,"_41":42,"_43":44,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":52,"_70":71,"_76":77,"_81":82,"_83":27,"_84":-5,"_85":86,"_87":88,"_89":90,"_91":92,"_93":19,"_56":36,"_94":95,"_96":97},46334,"type","MULTIPLE_CHOICE","text","أي مما يلي متجهان متعامدان؟","أي مما يلي متجهان متعامدان؟ A)⟨1, 0, 0 ⟩, ⟨1, 2, 3 ⟩ B)⟨1, -2, 3 ⟩, ⟨2, -4, 6 ⟩ C)⟨3, 4, 6 ⟩, ⟨6, 4, 3 ⟩ D)⟨3, -5, 4 ⟩, ⟨6, 2, -2 ⟩ ","46334-أي-مما-يلي-متجهان-متعامدان","order",39,"unit_id",57,"topic_id",3,"comparison_value1","","comparison_value2","has_text_explanation","has_video_explanation","question_group","question_options",[53,58,62,66],{"_8":54,"_35":55,"_56":57},179756,"\\ltr{\\langle 1, \\ 0, \\ 0 \\rangle, \\ \\langle 1, \\ 2, \\ 3 \\rangle}","renderedText"," $\"\"/$ ",{"_8":59,"_35":60,"_56":61},179757,"\\ltr{\\langle 1, \\ -2, \\ 3 \\rangle, \\ \\langle 2, \\ -4, \\ 6 \\rangle}"," $\"\"/$ ",{"_8":63,"_35":64,"_56":65},179758,"\\ltr{\\langle 3, \\ 4, \\ 6 \\rangle, \\ \\langle 6, \\ 4, \\ 3 \\rangle}"," $\"\"/$ ",{"_8":67,"_35":68,"_56":69},179759,"\\ltr{\\langle 3, \\ -5, \\ 4 \\rangle, \\ \\langle 6, \\ 2, \\ -2 \\rangle}"," $\"\"/$ ","previous_question",{"_8":72,"_33":34,"_35":73,"_12":74,"_10":-5,"_45":46,"_47":46,"_48":-5,"_49":-5,"_41":-5,"_75":-5,"_43":-5,"_50":-5},46332,"إذا كان \\ltr{a = \\langle 0, 5, 3 \\rangle}, \\ltr{b = \\langle 7, 0, 1 \\rangle} فإن \\ltr{a \\cdot b} يساوي...","46332-إذا-كان-,-فإن-يساوي","section_id","next_question",{"_8":78,"_33":34,"_35":79,"_12":80,"_10":-5,"_45":46,"_47":46,"_48":-5,"_49":-5,"_41":-5,"_75":-5,"_43":-5,"_50":-5},46335,"إذا كان \\ltr{\\mathbf{u} = \\langle b, -3, 1 \\rangle}, \\ltr{\\mathbf{v} = \\langle -2, -1, 3 \\rangle}، فما قيمة \\ltr{b} التي تجعل المتجهين \\ltr{\\mathbf{u}, \\mathbf{v}} متعامدين؟","46335-إذا-كان-=-b,-3,-1-},-=-2,-1,-3-}-فما-قيمة-التي-تجعل-المتجهين-,-}-متعامدين","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",79,"unitTitle","المتجهات","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","encodedPrevQuestionSlug","46332-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%2C-%D9%81%D8%A5%D9%86-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","encodedNextQuestionSlug","46335-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%3D-b%2C-3%2C-1-%7D%2C-%3D-2%2C-1%2C-3-%7D-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%D8%A7%D9%84%D8%AA%D9%8A-%D8%AA%D8%AC%D8%B9%D9%84-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87%D9%8A%D9%86-%2C-%7D-%D9%85%D8%AA%D8%B9%D8%A7%D9%85%D8%AF%D9%8A%D9%86","relatedQuestions",[100,119,139,159,179,199,219,239,259,279],{"_8":72,"_33":34,"_35":73,"_12":95,"_10":101,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":102,"_81":115,"_83":27,"_116":27,"_117":-5,"_56":118},"إذا كان a = ⟨0, 5, 3 ⟩, b = ⟨7, 0, 1 ⟩ فإن a ·b يساوي... A)3 B)12 C)21 D)35 ",[103,106,109,112],{"_8":104,"_35":105},179748,"\\ltr{3}",{"_8":107,"_35":108},179749,"\\ltr{12}",{"_8":110,"_35":111},179750,"\\ltr{21}",{"_8":113,"_35":114},179751,"\\ltr{35}",[],"is_all_explanations_deleted","contents_tags_ids","إذا كان $\"\"/$ , $\"\"/$ فإن $\"\"/$ يساوي...",{"_8":120,"_33":34,"_35":121,"_12":122,"_10":123,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":124,"_81":137,"_83":27,"_116":27,"_117":-5,"_56":138},46330,"إذا كان \\ltr{a = \\langle 2, 4, -3 \\rangle} ، \\ltr{b = \\langle -5, -7, 1 \\rangle} فإن \\ltr{2a - b} يساوي ..","46330-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%81%D8%A5%D9%86-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","إذا كان a = ⟨2, 4, -3 ⟩ ، b = ⟨-5, -7, 1 ⟩ فإن 2a - b يساوي .. A)⟨-1, 1, 5 ⟩ B)⟨4, 8, -6 ⟩ C)⟨9, 15, -7 ⟩ D)⟨9, 15, -5 ⟩ ",[125,128,131,134],{"_8":126,"_35":127},179740,"\\ltr{\\langle -1, 1, 5 \\rangle}",{"_8":129,"_35":130},179741,"\\ltr{\\langle 4, 8, -6 \\rangle}",{"_8":132,"_35":133},179742,"\\ltr{\\langle 9, 15, -7 \\rangle}",{"_8":135,"_35":136},179743,"\\ltr{\\langle 9, 15, -5 \\rangle}",[],"إذا كان $\"\"/$ ، $\"\"/$ فإن $\"\"/$ يساوي ..",{"_8":140,"_33":34,"_35":141,"_12":142,"_10":143,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":144,"_81":157,"_83":27,"_116":27,"_117":-5,"_56":158},46329,"إذا كان المتجه \\ltr{\\mathbf{v} = \\langle 2, -1, 3 \\rangle} فإن \\ltr{-2\\mathbf{v}} يساوي ..","46329-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87-=-2%2C-1%2C-3-%7D-%D9%81%D8%A5%D9%86-%7D-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","إذا كان المتجه 𝐯 = ⟨2, -1, 3 ⟩ فإن -2𝐯 يساوي .. A)⟨-6, 2, -4 ⟩ B)⟨4, 2, -6 ⟩ C)⟨-4, 2, -6 ⟩ D)⟨-4, -1, 3 ⟩ ",[145,148,151,154],{"_8":146,"_35":147},179736,"\\ltr{\\langle -6, 2, -4 \\rangle}",{"_8":149,"_35":150},179737,"\\ltr{\\langle 4, 2, -6 \\rangle}",{"_8":152,"_35":153},179738,"\\ltr{\\langle -4, 2, -6 \\rangle}",{"_8":155,"_35":156},179739,"\\ltr{\\langle -4, -1, 3 \\rangle}",[],"إذا كان المتجه $\"\"/$ فإن $\"\"/$ يساوي ..",{"_8":160,"_33":34,"_35":161,"_12":162,"_10":163,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":164,"_81":177,"_83":27,"_116":27,"_117":-5,"_56":178},46328,"إذا كان \\ltr{\\mathbf{u} = \\langle 8, 3, 5 \\rangle}, \\ltr{\\mathbf{v} = \\langle 7, 3, 2 \\rangle} فإن \\ltr{\\mathbf{u} - \\mathbf{v}} يساوي..","46328-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-=-8%2C-3%2C-5-%7D%2C-=-7%2C-3%2C-2-%7D-%D9%81%D8%A5%D9%86-%7D-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","إذا كان 𝐮 = ⟨8, 3, 5 ⟩, 𝐯 = ⟨7, 3, 2 ⟩ فإن 𝐮 - 𝐯 يساوي.. A)⟨-1, 0, -3 ⟩ B)⟨1, 0, 3 ⟩ C)⟨2, 0, -6 ⟩ D)⟨15, 6, 6 ⟩ ",[165,168,171,174],{"_8":166,"_35":167},179732,"\\ltr{\\langle -1, 0, -3 \\rangle}",{"_8":169,"_35":170},179733,"\\ltr{\\langle 1, 0, 3 \\rangle}",{"_8":172,"_35":173},179734,"\\ltr{\\langle 2, 0, -6 \\rangle}",{"_8":175,"_35":176},179735,"\\ltr{\\langle 15, 6, 6 \\rangle}",[],"إذا كان $\"\"/$ , $\"\"/$ فإن $\"\"/$ يساوي..",{"_8":180,"_33":34,"_35":181,"_12":182,"_10":183,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":184,"_81":197,"_83":27,"_116":27,"_117":-5,"_56":198},46327,"إذا كان \\ltr{a = \\langle 0, 5, 3 \\rangle}, \\ltr{b = \\langle 7, 0, 1 \\rangle} فإن \\ltr{a + b} يساوي ..","46327-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%2C-%D9%81%D8%A5%D9%86-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","إذا كان a = ⟨0, 5, 3 ⟩, b = ⟨7, 0, 1 ⟩ فإن a + b يساوي .. A)⟨7, 5, 4 ⟩ B)⟨4, 5, 7 ⟩ C)⟨0, 5, 4 ⟩ D)⟨11, 5, 1 ⟩ ",[185,188,191,194],{"_8":186,"_35":187},179728,"\\ltr{\\langle 7, 5, 4 \\rangle}",{"_8":189,"_35":190},179729,"\\ltr{\\langle 4, 5, 7 \\rangle}",{"_8":192,"_35":193},179730,"\\ltr{\\langle 0, 5, 4 \\rangle}",{"_8":195,"_35":196},179731,"\\ltr{\\langle 11, 5, 1 \\rangle}",[],"إذا كان $\"\"/$ , $\"\"/$ فإن $\"\"/$ يساوي ..",{"_8":200,"_33":34,"_35":201,"_12":202,"_10":203,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":204,"_81":217,"_83":27,"_116":27,"_117":-5,"_56":218},46326,"متجه الوحدة في اتجاه المتجه \\ltr{\\mathbf{v} = \\langle 2, -3, 6 \\rangle} يساوي ..","46326-%D9%85%D8%AA%D8%AC%D9%87-%D8%A7%D9%84%D9%88%D8%AD%D8%AF%D8%A9-%D9%81%D9%8A-%D8%A7%D8%AA%D8%AC%D8%A7%D9%87-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87-=-2%2C-3%2C-6-%7D-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A-%7D%7B31%7D%2C-%7D%7B31%7D%2C-%7D%7B31%7D-%7D-%7B7%7D%2C-%7B7%7D%2C-%7B7%7D-%7D-%7B2%7D%2C-%7B3%7D%2C-%7B6","متجه الوحدة في اتجاه المتجه 𝐯 = ⟨2, -3, 6 ⟩ يساوي .. A)⟨1, 1, 1 ⟩ B)⟨2√(31)/31, -3√(31)/31, 6√(31)/31 ⟩ C)⟨2/7, -3/7, 6/7 ⟩ D)⟨1/2, -1/3, 1/6 ⟩ ",[205,208,211,214],{"_8":206,"_35":207},179724,"\\ltr{\\langle 1, 1, 1 \\rangle}",{"_8":209,"_35":210},179725,"\\ltr{\\left\\langle \\frac{2\\sqrt{31}}{31}, -\\frac{3\\sqrt{31}}{31}, \\frac{6\\sqrt{31}}{31} \\right\\rangle}",{"_8":212,"_35":213},179726,"\\ltr{\\left\\langle \\frac{2}{7}, -\\frac{3}{7}, \\frac{6}{7} \\right\\rangle}",{"_8":215,"_35":216},179727,"\\ltr{\\left\\langle \\frac{1}{2}, -\\frac{1}{3}, \\frac{1}{6} \\right\\rangle}",[],"متجه الوحدة في اتجاه المتجه $\"\"/$ يساوي ..",{"_8":220,"_33":34,"_35":221,"_12":222,"_10":223,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":224,"_81":237,"_83":27,"_116":27,"_117":-5,"_56":238},46325,"طول المتجه \\ltr{w = 5i + 3j - \\sqrt{2}k} يساوي ..","46325-%D8%B7%D9%88%D9%84-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87-k%7D-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","طول المتجه w = 5i + 3j - √(2)k يساوي .. A)8 - √(2) B)6 C)8 + √(2) D)4√(2) ",[225,228,231,234],{"_8":226,"_35":227},179720,"\\ltr{8 - \\sqrt{2}}",{"_8":229,"_35":230},179721,"\\ltr{6}",{"_8":232,"_35":233},179722,"\\ltr{8 + \\sqrt{2}}",{"_8":235,"_35":236},179723,"\\ltr{4\\sqrt{2}}",[],"طول المتجه $\"\"/$ يساوي ..",{"_8":240,"_33":34,"_35":241,"_12":242,"_10":243,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":244,"_81":257,"_83":27,"_116":27,"_117":-5,"_56":258},46324,"أي مما يلي يمثل المتجه \\ltr{\\overrightarrow{AB}} إذا كان \\ltr{A(3,4,-4)}, \\ltr{B(-5,2,1)} ؟","46324-%D8%A3%D9%8A-%D9%85%D9%85%D8%A7-%D9%8A%D9%84%D9%8A-%D9%8A%D9%85%D8%AB%D9%84-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87-%7D-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86","أي مما يلي يمثل المتجه AB إذا كان A(3,4,-4), B(-5,2,1) ؟ A)⟨-8,-2,5 ⟩ B)⟨8,-2,3 ⟩ C)⟨8,2,-3 ⟩ D)⟨-8,-2,-3 ⟩ ",[245,248,251,254],{"_8":246,"_35":247},179716,"\\ltr{\\langle -8,-2,5 \\rangle}",{"_8":249,"_35":250},179717,"\\ltr{\\langle 8,-2,3 \\rangle}",{"_8":252,"_35":253},179718,"\\ltr{\\langle 8,2,-3 \\rangle}",{"_8":255,"_35":256},179719,"\\ltr{\\langle -8,-2,-3 \\rangle}",[],"أي مما يلي يمثل المتجه $\"\"/$ إذا كان $\"\"/$ , $\"\"/$ ؟",{"_8":260,"_33":34,"_35":261,"_12":262,"_10":263,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":264,"_81":277,"_83":27,"_116":27,"_117":-5,"_56":278},46323,"إذا كانت \\ltr{(3,0,6)} نقطة المنتصف بين النقطتين \\ltr{A(2,3,4)}, \\ltr{B(4,-3,k)} فإن \\ltr{k} تساوي ..","46323-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%D9%86%D9%82%D8%B7%D8%A9-%D8%A7%D9%84%D9%85%D9%86%D8%AA%D8%B5%D9%81-%D8%A8%D9%8A%D9%86-%D8%A7%D9%84%D9%86%D9%82%D8%B7%D8%AA%D9%8A%D9%86-%2C-%D9%81%D8%A5%D9%86-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-2-8-6-12","إذا كانت (3,0,6) نقطة المنتصف بين النقطتين A(2,3,4), B(4,-3,k) فإن k تساوي .. A)2 B)6 C)8 D)12 ",[265,268,271,274],{"_8":266,"_35":267},179712,"2",{"_8":269,"_35":270},179713,"6",{"_8":272,"_35":273},179714,"8",{"_8":275,"_35":276},179715,"12",[],"إذا كانت $\"\"/$ نقطة المنتصف بين النقطتين $\"\"/$ , $\"\"/$ فإن $\"\"/$ تساوي ..",{"_8":280,"_33":34,"_35":281,"_12":282,"_10":283,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":284,"_81":297,"_83":27,"_116":27,"_117":-5,"_56":298},46322,"مثلث رؤوسه النقاط \\ltr{A(0, 3, 5), B(1, 0, 2), C(0, -3, 5)} ، ما نوعه؟","46322-%D9%85%D8%AB%D9%84%D8%AB-%D8%B1%D8%A4%D9%88%D8%B3%D9%87-%D8%A7%D9%84%D9%86%D9%82%D8%A7%D8%B7-%D9%85%D8%A7-%D9%86%D9%88%D8%B9%D9%87-%D9%85%D8%AA%D8%B7%D8%A7%D8%A8%D9%82-%D8%A7%D9%84%D8%A3%D8%B6%D9%84%D8%A7%D8%B9-%D9%85%D8%AA%D8%B7%D8%A7%D8%A8%D9%82-%D8%A7%D9%84%D8%B6%D9%84%D8%B9%D9%8A%D9%86-%D9%82%D8%A7%D8%A6%D9%85-%D8%A7%D9%84%D8%B2%D8%A7%D9%88%D9%8A%D8%A9-%D9%85%D8%AE%D8%AA%D9%84%D9%81-%D8%A7%D9%84%D8%A3%D8%B6%D9%84%D8%A7%D8%B9","مثلث رؤوسه النقاط A(0, 3, 5), B(1, 0, 2), C(0, -3, 5) ، ما نوعه؟ A)قائم الزاوية B)متطابق الضلعين C)متطابق الأضلاع D)مختلف الأضلاع ",[285,288,291,294],{"_8":286,"_35":287},179708,"قائم الزاوية",{"_8":289,"_35":290},179709,"متطابق الضلعين",{"_8":292,"_35":293},179710,"متطابق الأضلاع",{"_8":295,"_35":296},179711,"مختلف الأضلاع",[],"مثلث رؤوسه النقاط $\"\"/$ ، ما نوعه؟","detailedAnswer",[301,306,308,310],{"_8":54,"_35":55,"_302":27,"_303":304,"_305":-5},"is_correct","question_option_details",[],"has_access",{"_8":59,"_35":60,"_302":27,"_303":307,"_305":-5},[],{"_8":67,"_35":68,"_302":19,"_303":309,"_305":-5},[],{"_8":63,"_35":64,"_302":27,"_303":311,"_305":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]