// Numbas version: exam_results_page_options
{"name": "Posisjon av to linjer", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Posisjon av to linjer", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>To linjer er gitt med parameterframstillingene&nbsp; &nbsp;$l_1:&nbsp; \\begin{array}{cccc} x= &amp; a_1 &amp; + &amp;u_1t \\\\ y= &amp; a_2 &amp; + &amp; u_2 t \\\\ z= &amp; a_3 &amp; + &amp; u_3t \\end{array}$&nbsp; &nbsp; &nbsp; og&nbsp; &nbsp; &nbsp; &nbsp;$l_2:&nbsp; \\begin{array}{cccc} x= &amp; b_1 &amp; + &amp;v_1s \\\\ y= &amp; b_2 &amp; + &amp; v_2 s \\\\ z= &amp; b_3 &amp; + &amp; v_3s \\end{array}$</p>\n<p>Man lager et system med tre likninger&nbsp;\\begin{array}{ccccccc} &amp;&nbsp;a_1&nbsp;&amp; + &amp; u_1t &amp; = &amp; b_1 &amp; + &amp; v_1s \\\\ &amp;&nbsp;a_2 &amp; + &amp; u_2t &amp; = &amp; b_2 &amp; + &amp; v_2s \\\\ &amp;&nbsp;a_3 &amp; + &amp; u_3t &amp; = &amp; b_3 &amp; + &amp; v_3s \\end{array}&nbsp;</p>\n<p>og l&oslash;ser det.</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_x", "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>Finn ut hvordan linjene $l_1$ og $l_2$ ligger i forhold til hverandre, hvis</p>", "minMarks": 0, "maxMarks": 0, "minAnswers": 0, "maxAnswers": 0, "shuffleChoices": false, "shuffleAnswers": false, "displayType": "radiogroup", "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["Systemet har &eacute;n mulig l&oslash;sning for $t$ og $s$<br/>$\\ \\ $", "Systemet har uendelig antall l&oslash;sninger for&nbsp;$t$ og $s$<br/>$\\ \\ $", "Systemet har&nbsp;ingen l&oslash;sning for&nbsp;$t$ og $s$&nbsp;<br/>og vektorene $(u_1,u_2,u_3)$ og $(v_1,v_2,v_3)$ er ikke parallelle<br/>$\\ \\ $", "Systemet har&nbsp;ingen l&oslash;sning&nbsp;<br/>og vektorene $(u_1,u_2,u_3)$ og $(v_1,v_2,v_3)$ er parallelle"], "matrix": [["0", "0", "0", "1"], ["1", "0", "0", "0"], ["0", "0", "1", "0"], ["0", "1", "0", "0"]], "layout": {"type": "all", "expression": ""}, "answers": ["$l_1$ og $l_2$ er sammenfallende", "$l_1$ og $l_2$ er parallelle", "$l_1$ og $l_2$ er&nbsp;vindskeive", "$l_1$ og $l_2$ skj&aelig;rer hverandre i ett punkt"]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Elena Malyutina", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7213/"}, {"name": "Glen Wilson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21835/"}]}]}], "contributors": [{"name": "Elena Malyutina", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7213/"}, {"name": "Glen Wilson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21835/"}]}