//  
  // GeoScript-Datei determinante_berechnen.script
  //    hergestellt mit EUKLID DynaGeo 2.4
  //  

   showGrid = true
   gridSize = 40
   WORLD_X_MAX = +8.0
   WORLD_X_MIN = -8.0
   WORLD_Y_MAX = +6.0
   WORLD_Y_MIN = -6.0



  // Figurenbeschreibung 
  // =================== 
  //  
e[1] = O;	point;	fixed;		0.0, 0.0;					black;gray;gray;default;
e[2] = _xe;	point;	fixed;		1.0, 0.0;					"hidden"
e[3] = _ye;	point;	fixed;		0.0, 1.0;					"hidden"
e[4] = _KO;	point;	coordSystem;	O, O, _xe, O, _ye, 1000, 1000, 1000, 1000;	0;gray;gray;default;
e[5] = xa;	line;	straightLine;	O, _xe;						0;0;192,192,192;0;
e[6] = ya;	line;	straightLine;	O, _ye;						0;0;192,192,192;0;
e[7]  = a;	point;	random;		-4.0,4.0,-4.0,4.0,"integer";	
e[8] = v1;	line;	vector;		O, a;						"hideLabel" 
e[9]  = b;	point;	random;		-3.0,3.0,-3.0,3.0,"integer";	
e[10] = v2;	line;	vector;		O, b;						"hideLabel" 
e[11] = a1;	point;	functionDepend;	"coordinateX(a)", "0";				black;lightGray;black;smallCircle
e[12] = a2;	point;	functionDepend;	"0", "coordinateY(a)";				black;lightGray;black;smallCircle
e[13] = s1;	line;	connect;	a2, a;						0;0;gray;0
e[14] = s2;	line;	connect;	a, a1;						0;0;gray;0
e[15] = b1;	point;	functionDepend;	"coordinateX(b)", "0";				black;lightGray;black;smallCircle
e[16] = b2;	point;	functionDepend;	"0", "coordinateY(b)";				black;lightGray;black;smallCircle
e[17] = s3;	line;	connect;	b2, b;						0;0;gray;0
e[18] = s4;	line;	connect;	b, b1;						0;0;gray;0
e[19] = det;	measure;calculate;	"coordinateX(a1)*coordinateY(b2)-coordinateY(a2)*coordinateX(b1)";
e[20] = cb;	measure;checkbox;	"Show coefficients",0;	
e[21] = controller;measure;controller;	1.5, 0.5, -25.0, 25.0, 250, "Determinant = ", "";	
e[22] = button;	measure;button;		"Evaluation","evaluate";
e[23] = val_a1;	measure;coordinateX;	a,"a1 = ","",-7.0,5.0;
e[24] = val_a2;	measure;coordinateY;	a,"a2 = ","",-7.0,4.5;
e[25] = val_b1;	measure;coordinateX;	b,"b1 = ","",-7.0,4.0;
e[26] = val_b2;	measure;coordinateY;	b,"b2 = ","",-7.0,3.5;

// Textfenster
// =========== 

<Textbox>
 Position = 420;10;-1;-1
 D = a1 * b2 - a2 * b1 
     = {calculate(val_a1)} * {calculate(val_b2)} - ({calculate(val_a2)} * {calculate(val_b1)})
     = {calculate(det)}

</Textbox>



// Show and hide objects
// =====================

   hidden[1] = "if (not(calculate(cb))) hide (a1,a2,b1,b2,s1,s2,s3,s4,val_a1,val_a2,val_b1,val_b2)" 
   hidden[2] = "if (not($(showProblemSolution))) hide (Textbox_1)" 


// Antwortanalyse
// ==============

<Problem>
 MAX_ANSWER = 3
 condition[1] = "abs(calculate(controller)-calculate(det)) < 0.1"
</Problem>

<Answer 1>
 key = "condition[1]"
 comment[1] = " Right./n "
</Answer 1>

<Answer 2>
  key = "1"
 comment[1] = " Your answer is not right. /n Just try again. "
 comment[2] = " Your answer is not right. /n Just try again. "
 comment[3] = " Your answer is not right. /n The determinant D is given through /n D = a1 * b2 - a2 * b1. "
</Answer 2>