// Numbas version: exam_results_page_options
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\\end{pmatrix}$,&nbsp;</p>\n<ul>\n<li>$\\alpha \\,\\mathbf v =&nbsp;\\begin{pmatrix} \\alpha \\,v_1 \\\\ \\alpha \\, v_2 \\end{pmatrix},\\, \\text{ where $\\alpha$ is a&nbsp;constant,}$</li>\n</ul>\n<p></p>\n<ul>\n<li>\n<p>$\\mathbf v \\pm \\mathbf w =&nbsp;\\begin{pmatrix} v_1 \\pm w_1 \\\\ v_2 \\pm w_2 \\end{pmatrix}.$</p>\n</li>\n</ul>\n<p>Combining these rules:</p>\n<p>\\[&nbsp;\\alpha \\,\\mathbf v \\pm \\beta \\, \\mathbf w=&nbsp;\\begin{pmatrix} \\alpha \\,v_1 \\\\ \\alpha \\, v_2 \\end{pmatrix} \\pm \\begin{pmatrix} \\beta \\, w_1 \\\\ \\beta \\, w_2 \\end{pmatrix} =&nbsp;\\begin{pmatrix} \\alpha \\,v_1 \\pm \\beta \\, w_1 \\\\ \\alpha \\, v_2 \\pm \\beta \\, w_2 \\end{pmatrix}. \\]</p>\n<p></p>\n<p>Part a)</p>\n<p>{check1}</p>\n<p>Part b)</p>\n<p>{check2}</p>\n<p>Part c)</p>\n<p>{check3}</p>\n<p>Part d)</p>\n<p>{check4}</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"a": {"name": "a", 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