// Numbas version: exam_results_page_options
{"name": "Egenskapene av produkt av to vektorer", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Egenskapene av produkt av to vektorer", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Velg egenskapene som stemmer for et produkt av vektorer $a$ og $b$, hvor $\\theta$ er en vinkel mellom dem</p>", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Velg en eller flere riktige p&aring;stander for et <em><strong>skalarprodukt</strong></em></p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["$a\\cdot b=\\|a\\|\\cdot\\|b\\|\\cdot \\cos \\theta$", "$\\|a\\cdot b\\|=\\|a\\|\\cdot\\|b\\|\\cdot \\cos \\theta$", "$a\\cdot b=\\|a\\|\\cdot\\|b\\|\\cdot \\sin \\theta$", "$\\|a\\cdot b\\|=\\|a\\|\\cdot\\|b\\|\\cdot \\sin \\theta$", "$a\\cdot b=b\\cdot a$", "$a\\cdot b=-b\\cdot a$", "$a\\cdot(b+c)=a\\cdot b+a\\cdot c$", "$k(a\\cdot b)=(ka)\\cdot b=a\\cdot(kb),\\ \\ k\\in\\mathbb{R}$", "$a\\cdot b=0\\ \\ \\Leftrightarrow\\ \\ a\\perp b$,&nbsp; for $a,b\\neq 0$", "$a\\cdot b=0\\ \\ \\Leftrightarrow\\ \\ a\\parallel&nbsp;b$,&nbsp; for $a,b\\neq 0$", "$a\\cdot b$ er et tall", "$a\\cdot b$ er en vektor", "$a\\cdot a$=0, for alle $a$", "$a\\cdot a=\\|a\\|^2$ for alle $a$"], "matrix": ["1", "-1", "-1", "-1", "1", "-1", "1", "1", "1", "-1", "1", "-1", "-1", "1"], "distractors": ["", "", "", "", "", "", "", "", "", "", "", "", "", ""]}, {"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Velg en eller flere riktige p&aring;stander for et<em><strong> kryssprodukt</strong></em></p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["$a\\times b=\\|a\\|\\cdot\\|b\\|\\cdot \\cos \\theta$", "$\\|a\\times b\\|=\\|a\\|\\cdot\\|b\\|\\cdot \\cos \\theta$", "$a\\times b=\\|a\\|\\cdot\\|b\\|\\cdot \\sin \\theta$", "$\\|a\\times b\\|=\\|a\\|\\cdot\\|b\\|\\cdot \\sin \\theta$", "$a\\times b=b\\times a$", "$a\\times b=-b\\times a$", "$a\\times(b+c)=a\\times b+a\\times c$", "$k(a\\times b)=(ka)\\times b=a\\times(kb),\\ \\ k\\in\\mathbb{R}$", "$a\\times b=0\\ \\ \\Leftrightarrow\\ \\ a\\perp b$,&nbsp; for $a,b\\neq 0$", "$a\\times b=0\\ \\ \\Leftrightarrow\\ \\ a\\parallel&nbsp;b$,&nbsp; for $a,b\\neq 0$", "$a\\times b$ er et tall", "$a\\times b$ er en vektor", "$a\\times a$=0, for alle $a$", "$a\\times a=\\|a\\|^2$ for alle $a$"], "matrix": ["-1", "-1", "-1", "1", "-1", "1", "1", "1", "-1", "1", "-1", "1", "1", "-1"], "distractors": ["", "", "", "", "", "", "", "", "", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Ida Friestad Pedersen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/792/"}, {"name": "Elena Malyutina", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7213/"}]}]}], "contributors": [{"name": "Ida Friestad Pedersen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/792/"}, {"name": "Elena Malyutina", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7213/"}]}