[{"_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,"_99":100,"_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":94,"_95":96,"_97":98},46314,"type","MULTIPLE_CHOICE","text","ما الصورة الإحداثية لمتجه طوله \\ltr{6} وزاوية اتجاهه مع الأفقي \\ltr{150^\\circ}؟","ما الصورة الإحداثية لمتجه طوله 6 وزاوية اتجاهه مع الأفقي 150^∘؟ A)⟨-3√(3), 3 ⟩ B)⟨3, -3√(3) ⟩ C)⟨3, 3√(3) ⟩ D)⟨3√(3), -3 ⟩ ","46314-ما-الصورة-الإحداثية-لمتجه-طوله-وزاوية-اتجاهه-مع-الأفقي-,-3-}-,-3","order",21,"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},179676,"\\ltr{\\langle -3\\sqrt{3}, 3 \\rangle}","renderedText"," $\"\"/$ ",{"_8":59,"_35":60,"_56":61},179677,"\\ltr{\\langle 3, -3\\sqrt{3} \\rangle}"," $\"\"/$ ",{"_8":63,"_35":64,"_56":65},179678,"\\ltr{\\langle 3, 3\\sqrt{3} \\rangle}"," $\"\"/$ ",{"_8":67,"_35":68,"_56":69},179679,"\\ltr{\\langle 3\\sqrt{3}, -3 \\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},46313,"الصورة الإحداثية لمتجه v طوله \\ltr{14} وزاوية اتجاهه مع الأفقي \\ltr{210^{\\circ}} ..","46313-الصورة-الإحداثية-لمتجه-v-طوله-وزاوية-اتجاهه-مع-الأفقي-}-,7-}-}-,-7","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},46315,"أي المتجهات التالية طوله \\ltr{2\\sqrt{2}} وزاوية اتجاهه \\ltr{45^\\circ} ؟","46315-أي-المتجهات-التالية-طوله-}-وزاوية-اتجاهه","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",79,"unitTitle","المتجهات","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","ما الصورة الإحداثية لمتجه طوله $\"\"/$ وزاوية اتجاهه مع الأفقي $\"\"/$ ؟","encodedPrevQuestionSlug","46313-%D8%A7%D9%84%D8%B5%D9%88%D8%B1%D8%A9-%D8%A7%D9%84%D8%A5%D8%AD%D8%AF%D8%A7%D8%AB%D9%8A%D8%A9-%D9%84%D9%85%D8%AA%D8%AC%D9%87-v-%D8%B7%D9%88%D9%84%D9%87-%D9%88%D8%B2%D8%A7%D9%88%D9%8A%D8%A9-%D8%A7%D8%AA%D8%AC%D8%A7%D9%87%D9%87-%D9%85%D8%B9-%D8%A7%D9%84%D8%A3%D9%81%D9%82%D9%8A-%7D-%2C7-%7D-%7D-%2C-7","encodedNextQuestionSlug","46315-%D8%A3%D9%8A-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87%D8%A7%D8%AA-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%D8%B7%D9%88%D9%84%D9%87-%7D-%D9%88%D8%B2%D8%A7%D9%88%D9%8A%D8%A9-%D8%A7%D8%AA%D8%AC%D8%A7%D9%87%D9%87","relatedQuestions",[101,120,140,160,180,200,220,239,259,279],{"_8":72,"_33":34,"_35":73,"_12":96,"_10":102,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":103,"_81":116,"_83":27,"_117":27,"_118":-5,"_56":119},"الصورة الإحداثية لمتجه v طوله 14 وزاوية اتجاهه مع الأفقي 210^∘ .. A)⟨7,7√(3) ⟩ B)⟨-7√(3),-7 ⟩ C)⟨-7√(3),7 ⟩ D)⟨14,210 ⟩ ",[104,107,110,113],{"_8":105,"_35":106},179672,"\\ltr{\\langle 7,7\\sqrt{3} \\rangle}",{"_8":108,"_35":109},179673,"\\ltr{\\langle -7\\sqrt{3},-7 \\rangle}",{"_8":111,"_35":112},179674,"\\ltr{\\langle -7\\sqrt{3},7 \\rangle}",{"_8":114,"_35":115},179675,"\\ltr{\\langle 14,210 \\rangle}",[],"is_all_explanations_deleted","contents_tags_ids","الصورة الإحداثية لمتجه v طوله $\"\"/$ وزاوية اتجاهه مع الأفقي $\"\"/$ ..",{"_8":121,"_33":34,"_35":122,"_12":123,"_10":124,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":125,"_81":138,"_83":27,"_117":27,"_118":-5,"_56":139},46312,"المتجه \\ltr{v = 5i - 2j} بالصورة الإحداثية يساوي ..","46312-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87-%D8%A8%D8%A7%D9%84%D8%B5%D9%88%D8%B1%D8%A9-%D8%A7%D9%84%D8%A5%D8%AD%D8%AF%D8%A7%D8%AB%D9%8A%D8%A9-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","المتجه v = 5i - 2j بالصورة الإحداثية يساوي .. A)⟨5, 2 ⟩ B)⟨2, 5 ⟩ C)⟨5, -2 ⟩ D)⟨-2, 5 ⟩ ",[126,129,132,135],{"_8":127,"_35":128},179668,"\\ltr{\\langle 5, 2 \\rangle}",{"_8":130,"_35":131},179669,"\\ltr{\\langle 2, 5 \\rangle}",{"_8":133,"_35":134},179670,"\\ltr{\\langle 5, -2 \\rangle}",{"_8":136,"_35":137},179671,"\\ltr{\\langle -2, 5 \\rangle}",[],"المتجه $\"\"/$ بالصورة الإحداثية يساوي ..",{"_8":141,"_33":34,"_35":142,"_12":143,"_10":144,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":145,"_81":158,"_83":27,"_117":27,"_118":-5,"_56":159},46311,"المتجه \\ltr{v = \\langle 2, 3 \\rangle} بدلالة متجهي الوحدة القياسيين يساوي ..","46311-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87-%D8%A8%D8%AF%D9%84%D8%A7%D9%84%D8%A9-%D9%85%D8%AA%D8%AC%D9%87%D9%8A-%D8%A7%D9%84%D9%88%D8%AD%D8%AF%D8%A9-%D8%A7%D9%84%D9%82%D9%8A%D8%A7%D8%B3%D9%8A%D9%8A%D9%86-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","المتجه v = ⟨2, 3 ⟩ بدلالة متجهي الوحدة القياسيين يساوي .. A)2i + 3j B)2i - 3j C)5i + j D)i + 5j ",[146,149,152,155],{"_8":147,"_35":148},179664,"\\ltr{2i + 3j}",{"_8":150,"_35":151},179665,"\\ltr{2i - 3j}",{"_8":153,"_35":154},179666,"\\ltr{5i + j}",{"_8":156,"_35":157},179667,"\\ltr{i + 5j}",[],"المتجه $\"\"/$ بدلالة متجهي الوحدة القياسيين يساوي ..",{"_8":161,"_33":34,"_35":162,"_12":163,"_10":164,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":165,"_81":178,"_83":27,"_117":27,"_118":-5,"_56":179},46310,"متجه الوحدة u باتجاه المتجه \\ltr{\\mathbf{v} = \\langle 3, -4 \\rangle} يساوي ..","46310-%D9%85%D8%AA%D8%AC%D9%87-%D8%A7%D9%84%D9%88%D8%AD%D8%AF%D8%A9-u-%D8%A8%D8%A7%D8%AA%D8%AC%D8%A7%D9%87-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87-=-3%2C-4-%7D-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A-%7B5%7D%2C-%7B5%7D-%7D-%7B5%7D%2C-%7B5","متجه الوحدة u باتجاه المتجه 𝐯 = ⟨3, -4 ⟩ يساوي .. A)⟨-1, 0 ⟩ B)⟨1, -1 ⟩ C)⟨-3/5, 4/5 ⟩ D)⟨3/5, -4/5 ⟩ ",[166,169,172,175],{"_8":167,"_35":168},179660,"\\ltr{\\langle -1, 0 \\rangle}",{"_8":170,"_35":171},179661,"\\ltr{\\langle 1, -1 \\rangle}",{"_8":173,"_35":174},179662,"\\ltr{\\langle -\\frac{3}{5}, \\frac{4}{5} \\rangle}",{"_8":176,"_35":177},179663,"\\ltr{\\langle \\frac{3}{5}, -\\frac{4}{5} \\rangle}",[],"متجه الوحدة u باتجاه المتجه $\"\"/$ يساوي ..",{"_8":181,"_33":34,"_35":182,"_12":183,"_10":184,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":185,"_81":198,"_83":27,"_117":27,"_118":-5,"_56":199},46309,"إذا كان لدينا المتجهين \\ltr{A = \\langle 5,-3 \\rangle}، \\ltr{B = \\langle 1,4 \\rangle}، فإن \\ltr{2A - B} يساوي ..","46309-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%84%D8%AF%D9%8A%D9%86%D8%A7-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87%D9%8A%D9%86-%D9%81%D8%A5%D9%86-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","إذا كان لدينا المتجهين A = ⟨5,-3 ⟩، B = ⟨1,4 ⟩، فإن 2A - B يساوي .. A)⟨9, -10 ⟩ B)⟨6, 1 ⟩ C)⟨4, -7 ⟩ D)⟨-3, 11 ⟩ ",[186,189,192,195],{"_8":187,"_35":188},179656,"\\ltr{\\langle 9, -10 \\rangle}",{"_8":190,"_35":191},179657,"\\ltr{\\langle 6, 1 \\rangle}",{"_8":193,"_35":194},179658,"\\ltr{\\langle 4, -7 \\rangle}",{"_8":196,"_35":197},179659,"\\ltr{\\langle -3, 11 \\rangle}",[],"إذا كان لدينا المتجهين $\"\"/$ ، $\"\"/$ ، فإن $\"\"/$ يساوي ..",{"_8":201,"_33":34,"_35":202,"_12":203,"_10":204,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":205,"_81":218,"_83":27,"_117":27,"_118":-5,"_56":219},46308,"إذا كان \\ltr{-\\frac{1}{2}\\mathbf{v} = \\langle -4, 12 \\rangle} فإن \\ltr{\\mathbf{v}} يساوي ..","46308-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%7B2%7D-=-4%2C-12-%7D-%D9%81%D8%A5%D9%86-%7D-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","إذا كان -1/2𝐯 = ⟨-4, 12 ⟩ فإن 𝐯 يساوي .. A)⟨2,-6 ⟩ B)⟨-2,6 ⟩ C)⟨-8,24 ⟩ D)⟨8,-24 ⟩ ",[206,209,212,215],{"_8":207,"_35":208},179652,"\\ltr{\\langle 2,-6 \\rangle}",{"_8":210,"_35":211},179653,"\\ltr{\\langle -2,6 \\rangle}",{"_8":213,"_35":214},179654,"\\ltr{\\langle -8,24 \\rangle}",{"_8":216,"_35":217},179655,"\\ltr{\\langle 8,-24 \\rangle}",[],"إذا كان $\"\"/$ فإن $\"\"/$ يساوي ..",{"_8":221,"_33":34,"_35":222,"_12":223,"_10":224,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":225,"_81":237,"_83":27,"_117":27,"_118":-5,"_56":238},46307,"إذا كان \\ltr{v = \\langle 7, 3 \\rangle}, \\ltr{u = \\langle 6, 3 \\rangle} فإن \\ltr{u - v} يساوي ..","46307-%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 v = ⟨7, 3 ⟩, u = ⟨6, 3 ⟩ فإن u - v يساوي .. A)⟨1, 3 ⟩ B)⟨-1, 3 ⟩ C)⟨-1, 0 ⟩ D)⟨3, 4 ⟩ ",[226,229,232,234],{"_8":227,"_35":228},179648,"\\ltr{\\langle 1, 3 \\rangle}",{"_8":230,"_35":231},179649,"\\ltr{\\langle -1, 3 \\rangle}",{"_8":233,"_35":168},179650,{"_8":235,"_35":236},179651,"\\ltr{\\langle 3, 4 \\rangle}",[],"إذا كان $\"\"/$ , $\"\"/$ فإن $\"\"/$ 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,"_117":27,"_118":-5,"_56":258},46306,"إذا كان \\ltr{\\mathbf{u} = \\langle -1,4 \\rangle} و \\ltr{\\mathbf v\\boldsymbol\\;\\boldsymbol+\\boldsymbol\\;\\mathbf u=\\langle4,5\\rangle} فإن \\ltr{\\;\\mathbf v} يساوي ..","46306-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-=-1%2C4-%7D-%D9%88-%D9%81%D8%A5%D9%86-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","إذا كان 𝐮 = ⟨-1,4 ⟩ و 𝐯 + 𝐮=⟨4,5⟩ فإن 𝐯 يساوي .. A)⟨3,9⟩ B)⟨5,1⟩ C)⟨-5,-1⟩ D)⟨3,1⟩ ",[245,248,251,254],{"_8":246,"_35":247},179644,"\\ltr{\\langle 3,9\\rangle}",{"_8":249,"_35":250},179645,"\\ltr{\\langle 5,1\\rangle}",{"_8":252,"_35":253},179646,"\\ltr{\\langle -5,-1\\rangle}",{"_8":255,"_35":256},179647,"\\ltr{\\langle 3,1\\rangle}",[],"إذا كان $\"\"/$ و $\"\"/$ فإن $\"\"/$ يساوي ..",{"_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,"_117":27,"_118":-5,"_56":278},46305,"أي المتجهات التالية طوله \\ltr{6} وحدات؟","46305-%D8%A3%D9%8A-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87%D8%A7%D8%AA-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%D8%B7%D9%88%D9%84%D9%87-%D9%88%D8%AD%D8%AF%D8%A7%D8%AA-%2C-3-%7D-%2C-1","أي المتجهات التالية طوله 6 وحدات؟ A)⟨2, 4 ⟩ B)⟨√(5), 1 ⟩ C)⟨3√(3), 3 ⟩ D)⟨2, √(3) ⟩ ",[265,268,271,274],{"_8":266,"_35":267},179640,"\\ltr{\\langle 2, 4 \\rangle}",{"_8":269,"_35":270},179641,"\\ltr{\\langle \\sqrt{5}, 1 \\rangle}",{"_8":272,"_35":273},179642,"\\ltr{\\langle 3\\sqrt{3}, 3 \\rangle}",{"_8":275,"_35":276},179643,"\\ltr{\\langle 2, \\sqrt{3} \\rangle}",[],"أي المتجهات التالية طوله $\"\"/$ وحدات؟",{"_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,"_117":27,"_118":-5,"_56":298},46304,"أي المتجهات التالية يمثل \\ltr{\\overrightarrow{RS}} ؟ حيث نقطة البداية \\ltr{R(-5,3)} ونقطة النهاية \\ltr{S(2,-7)} .","46304-%D8%A3%D9%8A-%D8%A7%D9%84%D9%85%D8%AA%D8%AC%D9%87%D8%A7%D8%AA-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%D9%8A%D9%85%D8%AB%D9%84-%7D-%D8%AD%D9%8A%D8%AB-%D9%86%D9%82%D8%B7%D8%A9-%D8%A7%D9%84%D8%A8%D8%AF%D8%A7%D9%8A%D8%A9-%D9%88%D9%86%D9%82%D8%B7%D8%A9-%D8%A7%D9%84%D9%86%D9%87%D8%A7%D9%8A%D8%A9","أي المتجهات التالية يمثل RS ؟ حيث نقطة البداية R(-5,3) ونقطة النهاية S(2,-7) . A)⟨7, -10 ⟩ B)⟨-7, 10 ⟩ C)⟨-3, 10 ⟩ D)⟨-3, -10 ⟩ ",[285,288,291,294],{"_8":286,"_35":287},179636,"\\ltr{\\langle 7, -10 \\rangle}",{"_8":289,"_35":290},179637,"\\ltr{\\langle -7, 10 \\rangle}",{"_8":292,"_35":293},179638,"\\ltr{\\langle -3, 10 \\rangle}",{"_8":295,"_35":296},179639,"\\ltr{\\langle -3, -10 \\rangle}",[],"أي المتجهات التالية يمثل $\"\"/$ ؟ حيث نقطة البداية $\"\"/$ ونقطة النهاية $\"\"/$ .","detailedAnswer",[301,306,308,310],{"_8":63,"_35":64,"_302":27,"_303":304,"_305":-5},"is_correct","question_option_details",[],"has_access",{"_8":54,"_35":55,"_302":19,"_303":307,"_305":-5},[],{"_8":67,"_35":68,"_302":27,"_303":309,"_305":-5},[],{"_8":59,"_35":60,"_302":27,"_303":311,"_305":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

ما الصورة الإحداثية لمتجه طوله وزاوية اتجاهه مع الأفقي ؟

ما الصورة الإحداثية لمتجه طوله $\ltr{6}$ وزاوية اتجاهه مع الأفقي $\ltr{150^\circ}$ ؟