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"url": "https://numbas.mathcentre.ac.uk/api/questions/12033/?format=api",
"name": "Combine linearly dependent vectors to get zero",
"published": true,
"project": "https://numbas.mathcentre.ac.uk/api/projects/601/?format=api",
"author": {
"url": "https://numbas.mathcentre.ac.uk/api/users/697/?format=api",
"profile": "https://numbas.mathcentre.ac.uk/accounts/profile/697/?format=api",
"full_name": "Newcastle University Mathematics and Statistics",
"pk": 697,
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"edit": "https://numbas.mathcentre.ac.uk/question/12033/combine-linearly-dependent-vectors-to-get-zero/?format=api",
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"source": "https://numbas.mathcentre.ac.uk/question/12033/combine-linearly-dependent-vectors-to-get-zero.exam?format=api",
"metadata": {
"notes": "<p><strong>10/02/2013:</strong></p>\n <p>Finished first draft. Need to resolve the display of row vectors etc.</p>\n <p>Display of linear equations difficult to format e.g. variables under one another as got to use \\simplify where there are randomised coefficients. </p>",
"licence": "Creative Commons Attribution 4.0 International",
"description": "<p>Real numbers $a,\\;b,\\;c$ and $d$ are such that $a+b+c+d=1$ and for the given vectors $\\textbf{v}_1,\\;\\textbf{v}_2,\\;\\textbf{v}_3,\\;\\textbf{v}_4$ $a\\textbf{v}_1+b\\textbf{v}_2+c\\textbf{v}_3+d\\textbf{v}_4=\\textbf{0}$. Find $a,\\;b,\\;c,\\;d$.</p>"
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