// Numbas version: finer_feedback_settings {"name": "Lars's copy of Vector cross product", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"showQuestionGroupNames": false, "variablesTest": {"condition": "", "maxRuns": 100}, "variable_groups": [], "name": "Lars's copy of Vector cross product", "statement": "

You are given the vectors $\\boldsymbol{v} = \\var{vector(a,b,g)}$, $\\boldsymbol{w} = \\var{vector(c,d,f)}$.

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Find

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$\\boldsymbol{v} \\times \\boldsymbol{w} = $ [[0]]

", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}], "question_groups": [{"name": "", "questions": [], "pickQuestions": 0, "pickingStrategy": "all-ordered"}], "preamble": {"js": "", "css": ""}, "metadata": {"description": "

Given vectors $\\boldsymbol{A,\\;B}$, find $\\boldsymbol{A\\times B}$

", "licence": "Creative Commons Attribution 4.0 International", "notes": "

14/7/2015

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Added unused tag

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16/07/2012:

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Added tags.

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Question appears to be working correctly.

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"}, "variables": {"result": {"name": "result", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "cross(vector(a,b,g),vector(c,d,f))"}, "c": {"name": "c", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "s3*random(2..9)"}, "s2": {"name": "s2", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(1,-1)"}, "s5": {"name": "s5", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(1,-1)"}, "g": {"name": "g", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "s1*random(2..9)"}, "f": {"name": "f", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..9)"}, "s4": {"name": "s4", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(1,-1)"}, "s1": {"name": "s1", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(1,-1)"}, "b": {"name": "b", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "s2*random(2..9)"}, "s3": {"name": "s3", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(1,-1)"}, "a": {"name": "a", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "s1*random(2..9)"}, "d": {"name": "d", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "s4*random(2..9)"}}, "functions": {}, "type": "question", "advice": "

\\begin{align}
\\boldsymbol{v} \\times \\boldsymbol{w} &= \\begin{pmatrix} \\simplify[basic]{{b}*{f}-{g}*{d}} \\\\ \\simplify[basic]{{g}*{c}-{a}*{f}} \\\\ \\simplify[basic]{{a}*{d}-{b}*{c}}  \\end{pmatrix} \\\\[1em]
&= \\var{result}
\\end{align}

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