// Numbas version: finer_feedback_settings
{"name": "Vectors 3 Vector cross product ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"type": "gapfill", "prompt": "<p>Find</p>\n<p>$\\boldsymbol{v} \\times \\boldsymbol{w} = $&nbsp;[[0]]</p>", "scripts": {}, "showCorrectAnswer": true, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "variableReplacements": [], "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "gaps": [{"type": "matrix", "numColumns": 1, "scripts": {}, "allowFractions": false, "showCorrectAnswer": true, "showFeedbackIcon": true, "allowResize": false, "numRows": "3", "customMarkingAlgorithm": "", "variableReplacements": [], "correctAnswer": "result", "tolerance": 0, "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": "3", "correctAnswerFractions": false, "extendBaseMarkingAlgorithm": true, "markPerCell": false}], "extendBaseMarkingAlgorithm": true, "sortAnswers": false}], "metadata": {"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>", "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"css": "", "js": ""}, "name": "Vectors 3 Vector cross product ", "functions": {}, "extensions": [], "tags": [], "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "result", "s1", "s2", "s3", "s4", "s5"], "variable_groups": [], "rulesets": {"std": ["all", "fractionNumbers", "!collectNumbers", "!noLeadingMinus"]}, "variables": {"s1": {"group": "Ungrouped variables", "templateType": "anything", "name": "s1", "description": "", "definition": "random(1,-1)"}, "g": {"group": "Ungrouped variables", "templateType": "anything", "name": "g", "description": "", "definition": "s1*random(2..9)"}, "s4": {"group": "Ungrouped variables", "templateType": "anything", "name": "s4", "description": "", "definition": "random(1,-1)"}, "a": {"group": "Ungrouped variables", "templateType": "anything", "name": "a", "description": "", "definition": "s1*random(2..9)"}, "s3": {"group": "Ungrouped variables", "templateType": "anything", "name": "s3", "description": "", "definition": "random(1,-1)"}, "s5": {"group": "Ungrouped variables", "templateType": "anything", "name": "s5", "description": "", "definition": "random(1,-1)"}, "f": {"group": "Ungrouped variables", "templateType": "anything", "name": "f", "description": "", "definition": "random(2..9)"}, "result": {"group": "Ungrouped variables", "templateType": "anything", "name": "result", "description": "", "definition": "cross(vector(a,b,g),vector(c,d,f))"}, "c": {"group": "Ungrouped variables", "templateType": "anything", "name": "c", "description": "", "definition": "s3*random(2..9)"}, "b": {"group": "Ungrouped variables", "templateType": "anything", "name": "b", "description": "", "definition": "s2*random(2..9)"}, "d": {"group": "Ungrouped variables", "templateType": "anything", "name": "d", "description": "", "definition": "s4*random(2..9)"}, "s2": {"group": "Ungrouped variables", "templateType": "anything", "name": "s2", "description": "", "definition": "random(1,-1)"}}, "statement": "<p>You are given the vectors $\\boldsymbol{v} = \\var{vector(a,b,g)}$, $\\boldsymbol{w} = \\var{vector(c,d,f)}$.</p>", "type": "question", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Violeta CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1030/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Violeta CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1030/"}]}