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3D vector field
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<iframe 
    src="http://jsxgraph.uni-bayreuth.de/share/iframe/3d-vector-field" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: 3D vector field" 
    allowfullscreen
></iframe>
This code has to 
<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
   <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div>
</div>

<script type = "text/javascript"> 
    /*
    This example is licensed under a 
    Creative Commons Attribution NonCommercial ShareAlike 4.0 International License.
    https://creativecommons.org/licenses/by-nc-sa/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    const board = JXG.JSXGraph.initBoard(BOARDID, {
        boundingbox: [-8, 8, 8, -8],
        keepaspectratio: false,
        axis: false,
        pan: {
            needTwoFingers: true
        }
    });
    
    var a = board.create('slider', [[-6, -7], [1, -7], [0, 0.5, 2]]);
    
    const view = board.create('view3d',
        [
            [-6, -3],
            [8, 8],
            [[-3, 3], [-3, 3], [-3, 3]]
        ], {});
    
    var vf = view.create('vectorfield3d', [
        [(x, y, z) => Math.cos(y), (x, y, z) => Math.sin(x), (x, y, z) => z],
        [-2, 5, 2], // x from -2 to 2 in 5 steps
        [-2, 5, 2], // y
        [-2, 5, 2] // z
    ], {
        strokeColor: 'red',
        scale: () => a.Value()
    });
 </script> 
/*
This example is licensed under a 
Creative Commons Attribution NonCommercial ShareAlike 4.0 International License.
https://creativecommons.org/licenses/by-nc-sa/4.0/

Please note you have to mention 
The Center of Mobile Learning with Digital Technology
in the credits.
*/

const BOARDID = 'your_div_id'; // Insert your id here!

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-8, 8, 8, -8],
    keepaspectratio: false,
    axis: false,
    pan: {
        needTwoFingers: true
    }
});

var a = board.create('slider', [[-6, -7], [1, -7], [0, 0.5, 2]]);

const view = board.create('view3d',
    [
        [-6, -3],
        [8, 8],
        [[-3, 3], [-3, 3], [-3, 3]]
    ], {});

var vf = view.create('vectorfield3d', [
    [(x, y, z) => Math.cos(y), (x, y, z) => Math.sin(x), (x, y, z) => z],
    [-2, 5, 2], // x from -2 to 2 in 5 steps
    [-2, 5, 2], // y
    [-2, 5, 2] // z
], {
    strokeColor: 'red',
    scale: () => a.Value()
});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="3D vector field" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false">
   /*
   This example is licensed under a 
   Creative Commons Attribution NonCommercial ShareAlike 4.0 International License.
   https://creativecommons.org/licenses/by-nc-sa/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
   const board = JXG.JSXGraph.initBoard(BOARDID, {
       boundingbox: [-8, 8, 8, -8],
       keepaspectratio: false,
       axis: false,
       pan: {
           needTwoFingers: true
       }
   });
   
   var a = board.create('slider', [[-6, -7], [1, -7], [0, 0.5, 2]]);
   
   const view = board.create('view3d',
       [
           [-6, -3],
           [8, 8],
           [[-3, 3], [-3, 3], [-3, 3]]
       ], {});
   
   var vf = view.create('vectorfield3d', [
       [(x, y, z) => Math.cos(y), (x, y, z) => Math.sin(x), (x, y, z) => z],
       [-2, 5, 2], // x from -2 to 2 in 5 steps
       [-2, 5, 2], // y
       [-2, 5, 2] // z
   ], {
       strokeColor: 'red',
       scale: () => a.Value()
   });
</jsxgraph>

3D vector field

3D
Calculus
Create a simple 3D vector field for \[ (x, y, z) \mapsto (\cos(y), \sin(x), z) \]
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-8, 8, 8, -8],
    keepaspectratio: false,
    axis: false,
    pan: {
        needTwoFingers: true
    }
});

var a = board.create('slider', [[-6, -7], [1, -7], [0, 0.5, 2]]);

const view = board.create('view3d',
    [
        [-6, -3],
        [8, 8],
        [[-3, 3], [-3, 3], [-3, 3]]
    ], {});

var vf = view.create('vectorfield3d', [
    [(x, y, z) => Math.cos(y), (x, y, z) => Math.sin(x), (x, y, z) => z],
    [-2, 5, 2], // x from -2 to 2 in 5 steps
    [-2, 5, 2], // y
    [-2, 5, 2] // z
], {
    strokeColor: 'red',
    scale: () => a.Value()
});