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{"name": "Question 10 length of vectors", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "c", "d"], "name": "Question 10 length of vectors", "tags": [], "advice": "<h4>a)</h4>\n<p><code>x</code> is a vector holding the sequence of numbers between $\\var{a}$ and $\\var{a+c-1}$, inclusive, i.e. {join(list(a..a+c-1),', ')}.</p>\n<p><code>length</code> gives the number of elements in a vector.&nbsp;There are $\\var{c}$ elements in <code>x</code>.</p>\n<p><code>x+{d}</code> adds $\\var{d}$ to each element of x, so the resulting vector has the same length.</p>\n<h4>b)</h4>\n<p><code>y</code>&nbsp;is a single number, so <code>length(y)</code> is $1$.</p>", "rulesets": {}, "parts": [{"displayColumns": 0, "prompt": "<p>What is the value of $y$?</p>", "matrix": ["1", 0, 0, 0], "shuffleChoices": true, "variableReplacements": [], "choices": ["<p>{c}</p>", "<p>{{c}+{a}+{d}}</p>", "<p>{{c}+{d}}</p>", "<p>{{a}+{d}}</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": "1", "scripts": {}, "distractors": ["", "", "", ""], "marks": 0, "showCorrectAnswer": true, "type": "1_n_2", "minMarks": 0}, {"displayColumns": 0, "prompt": "<p>What is the value of $z$?</p>", "matrix": [0, 0, "1", 0], "shuffleChoices": false, "variableReplacements": [], "choices": ["<p>{a}</p>", "<p>{c}</p>", "<p>1</p>", "<p>{{c}+{d}}</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": "1", "scripts": {}, "distractors": ["", "", "", ""], "marks": 0, "showCorrectAnswer": true, "type": "1_n_2", "minMarks": 0}], "extensions": [], "statement": "<pre>&gt; x = seq({a},{c+a-1})<br/>&gt; y = length(x+{d})<br/>&gt; z = length(y)</pre>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a": {"definition": "random(1..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "random(4..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "c", "description": ""}, "d": {"definition": "random(1..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "d", "description": ""}}, "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Amy Chadwick", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/505/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Amy Chadwick", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/505/"}]}