// Numbas version: finer_feedback_settings
{"name": "Vector 5 (cross  product)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"showQuestionGroupNames": false, "statement": "<p>You are given the vectors $\\boldsymbol{v} = \\var{vector(a,b,g)}$, $\\boldsymbol{w} = \\var{vector(c,d,f)}$.</p>", "question_groups": [{"name": "", "questions": [], "pickQuestions": 0, "pickingStrategy": "all-ordered"}], "functions": {}, "tags": ["3 dimensional vector", "checked2015", "cross product", "three dimensional vectors", "unused", "Vector", "vector", "vector product", "vectors"], "rulesets": {"std": ["all", "fractionNumbers", "!collectNumbers", "!noLeadingMinus"]}, "type": "question", "name": "Vector 5 (cross  product)", "preamble": {"js": "", "css": ""}, "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "result", "s1", "s2", "s3", "s4", "s5"], "parts": [{"type": "gapfill", "gaps": [{"scripts": {}, "correctAnswerFractions": false, "marks": "3", "variableReplacements": [], "type": "matrix", "markPerCell": false, "showCorrectAnswer": true, "allowResize": false, "correctAnswer": "result", "allowFractions": false, "numColumns": 1, "tolerance": 0, "numRows": "3", "variableReplacementStrategy": "originalfirst"}], "showCorrectAnswer": true, "scripts": {}, "prompt": "<p>Find</p>\n<p>$\\boldsymbol{v} \\times \\boldsymbol{w} = $&nbsp;[[0]]</p>", "marks": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}], "metadata": {"notes": "<p><strong>14/7/2015</strong></p>\n<p>Added unused tag</p>\n<p><strong></strong></p>\n<p><strong>16/07/2012:</strong></p>\n<p><strong>Added tags.<br /></strong></p>\n<p><strong>Question appears to be working correctly.<br /></strong></p>\n<p><strong>&nbsp;</strong></p>", "description": "<p>Given vectors $\\boldsymbol{A,\\;B}$, find $\\boldsymbol{A\\times B}$</p>", "licence": "Creative Commons Attribution 4.0 International"}, "advice": "<p>\\begin{align}<br/>\\boldsymbol{v} \\times \\boldsymbol{w} &amp;= \\begin{pmatrix} \\simplify[basic]{{b}*{f}-{g}*{d}} \\\\ \\simplify[basic]{{g}*{c}-{a}*{f}} \\\\ \\simplify[basic]{{a}*{d}-{b}*{c}} &nbsp;\\end{pmatrix} \\\\[1em]<br/>&amp;= \\var{result}<br/>\\end{align}</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"s4": {"definition": "random(1,-1)", "templateType": "anything", "name": "s4", "description": "", "group": "Ungrouped variables"}, "c": {"definition": "s3*random(2..9)", "templateType": "anything", "name": "c", "description": "", "group": "Ungrouped variables"}, "result": {"definition": "cross(vector(a,b,g),vector(c,d,f))", "templateType": "anything", "name": "result", "description": "", "group": "Ungrouped variables"}, "a": {"definition": "s1*random(2..9)", "templateType": "anything", "name": "a", "description": "", "group": "Ungrouped variables"}, "d": {"definition": "s4*random(2..9)", "templateType": "anything", "name": "d", "description": "", "group": "Ungrouped variables"}, "s2": {"definition": "random(1,-1)", "templateType": "anything", "name": "s2", "description": "", "group": "Ungrouped variables"}, "s1": {"definition": "random(1,-1)", "templateType": "anything", "name": "s1", "description": "", "group": "Ungrouped variables"}, "g": {"definition": "s1*random(2..9)", "templateType": "anything", "name": "g", "description": "", "group": "Ungrouped variables"}, "f": {"definition": "random(2..9)", "templateType": "anything", "name": "f", "description": "", "group": "Ungrouped variables"}, "s5": {"definition": "random(1,-1)", "templateType": "anything", "name": "s5", "description": "", "group": "Ungrouped variables"}, "b": {"definition": "s2*random(2..9)", "templateType": "anything", "name": "b", "description": "", "group": "Ungrouped variables"}, "s3": {"definition": "random(1,-1)", "templateType": "anything", "name": "s3", "description": "", "group": "Ungrouped variables"}}, "contributors": [{"name": "Violeta CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1030/"}]}]}], "contributors": [{"name": "Violeta CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1030/"}]}