Spherical Coordinates: Dynamic Illustrator

[b]Students:[/b][br][br]You can use this applet to help you better visualize plotting points in 3-space on a SPHERE. (Hence, the name [i]spherical coordinates[/i]). [br][br]Spherical coordinates are expressed in the form [math]\left(\rho,\theta,\phi\right)[/math]. [br][br][b]For [/b][math]\theta[/math][b] and [/b][math]\phi[/math][b], this applet uses units of RADIANS. [br][br][color=#ff7700]The ORANGE POINT = THE POINT YOU'RE PLOTTING. [/color][/b][br][br]How can we describe what each of the 3 coordinates tells us? [br](Explain as best you can in your own words). [br][br][color=#1e84cc][b]To explore in Augmented Reality, see the directions below this applet. [/b][/color]
TO EXPLORE IN AUGMENTED REALITY:
1) Open up GeoGebra 3D app on your device. [br][br]2) Go to MENU (3 horizontal bars in upper left hand corner). [br][br]3) Select OPEN. Under search, type the ID of this resource (from URL): [b]h9xS5ZZs[/b][br][br]4) If you want to see the sphere, scroll down in the algebra window and type [b]true[/b] for parameter [b]j[/b]. [br] ([b]j[/b] is currently defaulted to "false"). The [b]filling [/b]slider controls the shading of this sphere. [br][br]5) The sliders [b]a[/b], [b]b[/b], and[b] c[/b] control [math]\rho[/math], [math]\theta[/math], and [math]\phi[/math], respectively. [br] [color=#ff7700]Slider [b]e[/b] [/color]will animate the plotting of this point in this 3-dimensional coordinate system. [br][br]

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