Move the orange dot to REP.
graphInit({
range: [[LOWER_BOUND - 1, UPPER_BOUND + 1], [LOWER_BOUND - 1, UPPER_BOUND + 1]],
tickStep: 1,
labelStep: 1,
scale: 30
});
// I18N: This is the abbreviated "Real" in regards to the complex plane
label([6, 0.5], $._("Re"), "left");
// I18N: This is the abbreviated "Imaginary" in regards to the complex plane
label([0.5, 5], $._("Im"), "right");
addMouseLayer();
graph.movablePoint = addMovablePoint({constraints: {}, snapX: 0.5, snapY: 0.5});
graph.movablePoint.onMove = function(x, y) {
if (x < LOWER_BOUND || x > UPPER_BOUND || y < LOWER_BOUND || y > UPPER_BOUND) {
return false;
}
};
graph.movablePoint.coord
return graph.movablePoint.coord.join() === [REAL, IMAG].join();
graph.movablePoint.setCoord(guess);
Complex numbers can be visualized as points on a plane. The coordinates on the
real and imaginary axes correspond to the real and imaginary parts of the complex number.
REP has real part REAL and imaginary part IMAG.
style({stroke: ORANGE, strokeWidth: 2.0});
line([REAL, LOWER_BOUND - 1], [REAL, UPPER_BOUND + 1]);
graph.movablePoint.visibleShape.toFront();
The vertical orange line represents all complex numbers with real part REAL (including REP).
style({stroke: BLUE, strokeWidth: 2.0});
line([LOWER_BOUND - 1, IMAG], [UPPER_BOUND + 1, IMAG]);
graph.movablePoint.visibleShape.toFront();
The horizontal blue line represents all complex numbers with imaginary part IMAG, also including REP.
graph.movablePoint.moveTo(REAL, IMAG);
The only complex number with real part REAL and imaginary part IMAG is REP,
so it lies on the intersection of the vertical orange line and the horizontal blue line.