// Numbas version: exam_results_page_options
{"name": "Inbbavathie's copy of Complex number arithmetic", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"statement": "<p>This question will help you to practice adding, subtracting, multiplying and dividing complex numbers in Cartesian/rectangular form. If you wish, you might like to watch this video which explains these operations and how to do problems like these.</p>\n<p style=\"text-align: center;\"><iframe width=\"500\" height=\"375\" src=\"//www.youtube.com/embed/kX3woqZ5ewA\"></iframe></p>\n<p>Given the complex numbers</p>\n<p>\\[z_1=\\var{z1},\\quad z_2=\\var{z2},&nbsp;\\quad&nbsp;z_3=\\var{z3}, \\quad&nbsp;z_4=\\var{z4},\\]</p>\n<p>calculate the following (write your answers in Cartesian/rectangular form). Where necessary, round off your answers to 2 decimal places.</p>", "extensions": [], "ungrouped_variables": ["z1", "z2", "z3", "z4", "z4bar", "z3z4bar", "modz4sq", "re_z3onz4", "im_z3onz4", "z1plusz2", "z1minusz2", "z1z3"], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.</p>"}, "rulesets": {}, "advice": "<p>\\[z_1+z_2=(\\var{z1})+(\\var{z2})=\\simplify{{z1}+{z2}}\\]</p>\n<p>\\[z_1-z_2=(\\var{z1})-(\\var{z2})=\\simplify{{z1}-{z2}}\\]</p>\n<p>\\[z_1z_3=(\\var{z1})(\\var{z3})=\\var{z1z3}\\]</p>\n<p></p>", "variablesTest": {"maxRuns": 100, "condition": ""}, "name": "Inbbavathie's copy of Complex number arithmetic", "functions": {}, "parts": [{"marks": 1, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "showpreview": true, "vsetrangepoints": 5, "checkingaccuracy": 0.001, "variableReplacements": [], "scripts": {}, "answer": "{z1plusz2}", "checkvariablenames": false, "showCorrectAnswer": true, "prompt": "<p>$z_1+z_2=$</p>", "checkingtype": "absdiff", "vsetrange": [0, 1], "type": "jme", "expectedvariablenames": []}, {"marks": "1", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "showpreview": true, "vsetrangepoints": 5, "checkingaccuracy": 0.001, "variableReplacements": [], "scripts": {}, "answer": "{z1minusz2}", "checkvariablenames": false, "showCorrectAnswer": true, "prompt": "<p>$z_1-z_2=$</p>", "checkingtype": "absdiff", "vsetrange": [0, 1], "type": "jme", "expectedvariablenames": []}, {"marks": 1, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "showpreview": true, "vsetrangepoints": 5, "checkingaccuracy": 0.001, "variableReplacements": [], "scripts": {}, "answer": "{z1z3}", "checkvariablenames": false, "showCorrectAnswer": true, "prompt": "<p>$z_1z_3=$</p>", "checkingtype": "absdiff", "vsetrange": [0, 1], "type": "jme", "expectedvariablenames": []}], "variable_groups": [], "preamble": {"js": "", "css": ""}, "variables": {"z1": {"templateType": "anything", "group": "Ungrouped variables", "name": "z1", "description": "", "definition": "random(-10..10)+random(-10..10)i"}, "z3": {"templateType": "anything", "group": "Ungrouped variables", "name": "z3", "description": "", "definition": "random(-10..10)+random(-10..10)i"}, "im_z3onz4": {"templateType": "anything", "group": "Ungrouped variables", "name": "im_z3onz4", "description": "", "definition": "im(z3/z4)"}, "z2": {"templateType": "anything", "group": "Ungrouped variables", "name": "z2", "description": "", "definition": "random(-10..10)+random(-10..10)i"}, "re_z3onz4": {"templateType": "anything", "group": "Ungrouped variables", "name": "re_z3onz4", "description": "", "definition": "re(z3/z4)"}, "z4bar": {"templateType": "anything", "group": "Ungrouped variables", "name": "z4bar", "description": "", "definition": "conj(z4)"}, "z1z3": {"templateType": "anything", "group": "Ungrouped variables", "name": "z1z3", "description": "", "definition": "z1*z3"}, "z3z4bar": {"templateType": "anything", "group": "Ungrouped variables", "name": "z3z4bar", "description": "", "definition": "z3*z4bar"}, "z1minusz2": {"templateType": "anything", "group": "Ungrouped variables", "name": "z1minusz2", "description": "", "definition": "z1-z2"}, "modz4sq": {"templateType": "anything", "group": "Ungrouped variables", "name": "modz4sq", "description": "", "definition": "z4*z4bar"}, "z1plusz2": {"templateType": "anything", "group": "Ungrouped variables", "name": "z1plusz2", "description": "", "definition": "z1+z2"}, "z4": {"templateType": "anything", "group": "Ungrouped variables", "name": "z4", "description": "", "definition": "random(-10..10)+random(-10..10)i"}}, "tags": [], "type": "question", "contributors": [{"name": "Inbbavathie Ravi", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1620/"}]}]}], "contributors": [{"name": "Inbbavathie Ravi", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1620/"}]}