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Each point represent a complex number.\\n \"),_c('br'),_vm._v(\"\\n Your goal is to find the product of the the complex numbers represented by points \\\\(Z_1\\\\) and \\\\(Z_2\\\\).\\n \"),_c('br')])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-2\"},[_c('i',{staticClass:\"redoer ma-1\"}),_vm._v(\" — is the 'Next' button. Tap on this button to move over to the next question. \"),_c('br'),_c('i',{staticClass:\"tester ma-1\"}),_vm._v(\" — is the 'Check Your Answer' button. Tap on this button to check your answer and move over to the next question.\"),_c('br'),_c('i',{staticClass:\"logor ma-1\"}),_vm._v(\"— is the 'Get a Hint' button. Tap on this button to receive a hint on how to solve this problem. \"),_c('br'),_c('i',{staticClass:\"undoer ma-1\"}),_vm._v(\" — is the 'Start Over' button. 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placeComment,\r\n createAxes,\r\n writeHTMLText,\r\n drawPoint,\r\n setSize,\r\n labelIt,\r\n placeMarker,\r\n drawCircle,\r\n placeImage,\r\n placeShuffle,\r\n placeTest,\r\n drawArrow,\r\n drawAngle,\r\n drawSegment,\r\n placeBWhite,\r\n placeWhite,\r\n placeBCircles,\r\n placeCircles,\r\n placeChecks,\r\n placeCross,\r\n placeExclaim,\r\n hoverMe,\r\n placeLogo,\r\n drawMarker,\r\n toggle,\r\n toggleTF,\r\n placeFingers,\r\n placeAnswers,\r\n drawTriangle,\r\n placeRedo,\r\n placeStartOver,\r\n placeBoldText,\r\n placeLeftText,\r\n plotFunction,\r\n drawSlider,\r\n placeSeg,\r\n setWidth\r\n} from '../Utils.js'\r\nconst Boxes = {\r\n box1: function () {\r\n///////////////////////////////////GLOBAL SETTINGS//////////////////////\r\n\tJXG.Options.board.minimizeReflow = 'none';\r\n JXG.Options.point.showInfoBox=false;\r\n JXG.Options.point.highlight=false;\r\n JXG.Options.image.highlight=false;\r\n JXG.Options.line.highlight=false;\r\n JXG.Options.text.highlight=false;\r\n JXG.Options.text.fixed=true;\r\n JXG.Options.curve.highlight=false;\r\n JXG.Options.text.cssDefaultStyle='fontFamily:Oswald;'\r\n//////////////////////////////////LOCAL SETTINGS//////////////////////////////////\r\nvar graph =createSpace(-6,6,-6,6);\r\nmakeResponsive(graph);\r\ngraph.suspendUpdate();\r\ngraph.options.layer['image']=26;\r\ngraph.options.layer['text']=2;\r\ngraph.options.layer['html']=2;\r\ngraph.options.layer['line']=2;\r\ngraph.options.layer['point']=10;\r\ngraph.options.layer['arrow']=12;\r\ngraph.options.image.highlight=false;\r\n/*********************GRAPH DIMENSIONS*******************/\r\nconst boundingBox = graph.attr.boundingbox;\r\nconst positionX = (boundingBox[2]+boundingBox[0])/2;\r\nconst positionY = (boundingBox[1]+boundingBox[3])/2-2;\r\nconst height = (boundingBox[1]-boundingBox[3])/2;\r\n/**********************PUT AXES **********************/\r\nvar ax = createAxes(graph);\r\n/***************** PUT AXES TITLE *******************/\r\nax[0].setAttribute({name:'X'});\r\nax[1].setAttribute({name:'iY'});\r\n/***********************SCORING *******************/\r\nvar yourScore =0; var yourMissed =0; var yourWrong =0; var yourTotal=0;\r\nvar scoreCard = writeHTMLText(graph, positionX, positionY+3, function(){return 'Your Score ( ✓ ): '+ yourScore+'/5'});\r\nvar missedCard = writeHTMLText(graph, positionX, positionY+2, function(){return 'Missed Questions ( ! ): '+ yourMissed+'/5'});\r\nvar wrongCard = writeHTMLText(graph, positionX, positionY+1, function(){return 'Wrong Answers ( x ): '+ yourWrong+'/5'});\r\nscoreCard.setAttribute({visible:false});\r\nmissedCard.setAttribute({visible:false});\r\nwrongCard.setAttribute({visible:false});\r\n/******************ITERATIVE VARIABLE **************/\r\nvar i=0; var k=0; var vis=false;\r\n/*************************ANSWERS*********************/\r\nvar index_selected_answer = -1;\r\nconst answers = [['|Z1||Z2|(cosθ + i sinθ)', '-|Z1||Z2|cosθ', 'i|Z1||Z2|', '|Z1||Z2|sinθ'],\r\n['|Z1||Z2|(cosθ + i sinθ)', '-|Z1||Z2|cosθ', '-i|Z1||Z2|', 'i|Z1||Z2|'],\r\n['|Z1||Z2|(cosθ + i sinθ)', '-|Z1||Z2|', 'i|Z1||Z2|', '|Z1||Z2|'],\r\n['-i|Z1||Z2|', '-|Z1||Z2|cosθ', 'i|Z1||Z2|', '|Z1||Z2|sinθ'],\r\n['|Z1||Z2|(cosθ + i sinθ)', '-|Z1||Z2|', 'i|Z1||Z2|', '|Z1||Z2|']];\r\nconst index_right_answer = [2,3,1,0,3];\r\n/******************************************/\r\nconst XList = [Math.PI/6, -Math.PI/6, -Math.PI/6, Math.PI/6, Math.PI/6];\r\nconst YList = [Math.PI/3, 2*Math.PI/3, Math.PI+Math.PI/6, 3*Math.PI/2-Math.PI/6, -Math.PI/6];\r\nconst vert =[[0,5],[0,5],[-5,0],[0,-5],[5,0]];\r\nconst horz =[[5,0],[5,0],[5,0],[5,0],[5,0]];\r\n/************************************************/\r\n/********************************************************************************************/\r\n/********************************************************************************************/\r\nvar Ptx =drawPoint(graph, 5*Math.cos(Math.PI/6), 5*Math.sin(Math.PI/6));\r\nPtx.setAttribute({fillColor:'white', strokeColor:'black'});\r\nsetSize(graph, Ptx, 4);\r\nlabelIt(graph, Ptx, 'Z1');\r\n/*********************************************/\r\nvar Pty =drawPoint(graph, 4*Math.cos(Math.PI/3), 4*Math.sin(Math.PI/3));\r\nPty.setAttribute({fillColor:'white', strokeColor:'black'});\r\nsetSize(graph, Pty, 4);\r\nlabelIt(graph, Pty, 'Z2');\r\n/***********************************************/\r\nvar PtH =drawPoint(graph, ()=>horz[i][0], ()=>horz[i][1]);\r\nPtH.setAttribute({visible:false});\r\nvar PtV=drawPoint(graph, ()=>vert[i][0],()=>vert[i][1]);\r\nPtV.setAttribute({visible:false});\r\n//var Ptx =drawPoint(graph, 2, 0);\r\n//Ptx.setAttribute({visible:false});\r\n/************************************************/\r\n//var Pty =drawPoint(graph, 0, 3);\r\n//Pty.setAttribute({visible:false});\r\n/****************************************************/\r\n//var Horz2 =drawSegment(graph, Ptz, Pty);\r\n//Horz2.setAttribute({dash:1});\r\n//var Vert2 =drawSegment(graph, Ptz, Ptx);\r\n//Vert2.setAttribute({dash:1});\r\n/***************************************************/\r\nvar Pto =drawPoint(graph, 0, 0);\r\nPto.setAttribute({visible:false});\r\n/**********************************************/\r\nvar oz =drawArrow(graph, Pto, Ptx);\r\nsetWidth(graph, oz, 3);\r\noz.setAttribute({strokeColor:'blue'});\r\n/**********************************************/\r\nvar ol =drawArrow(graph, Pto, Pty);\r\nsetWidth(graph, ol, 3);\r\nol.setAttribute({strokeColor:'green'});\r\n\r\nvar alpha =drawAngle(graph, PtH, Pto, Ptx);\r\nalpha.setAttribute({center:{visible:false}, radiusPoint:{visible:false}, anglePoint:{visible:true}});\r\nalpha.setLabel('θ');\r\nvar beta = drawAngle(graph, PtV, Pto, Pty);\r\nbeta.setAttribute({center:{visible:false}, radiusPoint:{visible:false}, anglePoint:{visible:true}});\r\nbeta.setLabel('θ');\r\n/*************************************PRINT ANSWER ****************************************/\r\n//print(graph, ()=> (0.5*(180-2*alpha.Value()*180/Math.PI)).toFixed(1))\r\n/****************PUT TITLE ****************************/\r\nvar question = placeQuestion(graph, 'Product of Z_1 and Z_2 = Z_1 x Z_2 is —');\r\nvar comment = placeComment(graph, '');\r\nvar note = writeHTMLText(graph, positionX, positionY+height/2., 'You did not make a selection.');\r\nnote.setAttribute({visible:false});\r\n//print(graph, ()=>(alpha.Value()*180/Math.PI).toFixed(1));\r\n///////////////////////////GRAPHICS MODULES//////////////////\r\nvar bck =placeWhite(graph);\r\nvar show =placeBCircles(graph);\r\nvar hide=placeCircles(graph);\r\nvar check = placeChecks(graph);\r\nvar cross = placeCross(graph);\r\nvar exclaim = placeExclaim(graph);\r\nvar pointers = placeFingers(graph);\r\nhide[0].setAttribute({visible:false});\r\n/***************************BUTTON MODULES******************/\r\nvar test =placeTest(graph,'left');\r\nhoverMe(graph, test, 'Check Your Answer', -20, 0);\r\n/**/\r\nvar next = placeRedo(graph);\r\nhoverMe(graph, next, 'Next Question', 0, 0);\r\n/**/\r\nvar redo = placeStartOver(graph);\r\nredo.setAttribute({visible:false});\r\nhoverMe(graph, redo, 'Start Over', 0, 0);\r\n/***************************************/\r\n///////////////////////////////////////////////////////////////\r\nvar ansList = ['|Z_1||Z_2|(cosθ + i sinθ)', '-|Z_1||Z_2|', 'i|Z_1||Z_2|', '|Z_1||Z_2|'];\r\nvar ansArray = placeAnswers(graph, ansList);\r\nfor(let ij=0; ij<=3; ij++)\r\n{\r\n ansArray[ij].on('down', function(){\r\n ansArray.forEach(function(item){item.setAttribute({color:'grey'})});\r\n pointers.forEach(function(item){item.setAttribute({visible:false})});\r\n ansArray[ij].setAttribute({color:'black'});\r\n pointers[ij].setAttribute({visible:true});\r\n index_selected_answer = ij.valueOf();})\r\n}\r\n////////////////////////////////////////////////////////////////////////\r\nvar hint =writeHTMLText(graph, positionX, positionY+2, '
  1. Equation of the parabolic curve is given to you: y = f(x)

  2. To find the slope of tangent at point P, calculate dy/dx at x = x_P.

');\r\nhint.setAttribute({visible:false, color:'white'});\r\n/**************************TEST BUTTON ***********************/\r\ntest.on('down', function()\r\n{\r\n note.setAttribute({visible:false});\r\n if(i<=XList.length-1)\r\n {\r\n if(index_selected_answer == index_right_answer[i] && yourTotal\r\n
\r\n
\r\n
Problem Description
\r\n

\n \\(Z_1\\) and \\(Z_2\\) are two points on the complex plane. Each point represent a complex number.\n
\n Your goal is to find the product of the the complex numbers represented by points \\(Z_1\\) and \\(Z_2\\).\n
\r\n

\r\n
Buttons on the MagicGraph
\r\n

\r\n — is the 'Next' button. Tap on this button to move over to the next question.
\r\n — is the 'Check Your Answer' button. Tap on this button to check your answer and move over to the next question.
\r\n — is the 'Get a Hint' button. Tap on this button to receive a hint on how to solve this problem.
\r\n — is the 'Start Over' button. Tap on this button to start over the exercise from the begining.\r\n

\r\n
Marks & Indications
\r\n

\r\n The marks and indications are located on the top-left corner of the MagicGraph, and show your attempt status.
\r\n — the right checkmark indicates that your attempted response was correct.
\r\n — this crossmark indicates that your attempted response was incorrect.
\r\n — this exclaimation mark indicates an unattempted (missed) response.
\r\n

\r\n
\r\n
\r\n
MagicGraph | Product of Complex Numbers
\r\n
\r\n \r\n \r\n
\r\n \r\n \r\n
\r\n\r\n\r\n","import mod from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=58777244&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n script,\n render,\n staticRenderFns,\n false,\n null,\n null,\n null\n \n)\n\nexport default component.exports"],"sourceRoot":""}