Where Did the Plane Go?

In the app below, the [b][color=#ff7700]one plane[/color][/b] you see passes through the [b]3 points[/b]. [br]Move the [b]3 points[/b] around a bit. Then answer the questions that follow.
Is it possible to get the [b][color=#ff7700]plane[/color][/b] to disappear? See if you can make this happen. [br]If so, what causes the plane to disappear?
What else do you you notice?
What conclusions can we make about[b] 3 points [/b]and the [b][color=#ff7700]number of planes [/color][/b]that pass through these 3 points? List below:
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Information: Where Did the Plane Go?