// Numbas version: finer_feedback_settings {"name": "Violeta's copy of Vector cross product -test", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"tags": [], "parts": [{"gaps": [{"scripts": {}, "marks": "3", "tolerance": 0, "correctAnswer": "result", "variableReplacementStrategy": "originalfirst", "allowResize": false, "type": "matrix", "showCorrectAnswer": true, "markPerCell": false, "variableReplacements": [], "allowFractions": false, "showFeedbackIcon": true, "numColumns": "1", "correctAnswerFractions": false, "numRows": "3"}], "type": "gapfill", "marks": 0, "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "prompt": "

Find

\n

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

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

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

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