Dot Product Insight

[color=#000000]Recall the [b]dot product of 2 vectors <a, b> & <c, d>[/b] is defined to be the value [b](a)(c) + (b)(d)[/b]. [br]Note that the [b]dot product of 2 vectors is a scalar quantity.[/b] [br][br]In the applet below two vectors ([b]u[/b] and [b]v[/b]) are drawn with the same initial point. [br]Their dot product is also shown. [br][br]Interact with this applet for a few minutes.[br]Do you notice anything (or several things) that seem interesting? [br]Do you notice any patterns? [br]If so, describe. [/color]
Quick (Silent) Demo

Information: Dot Product Insight