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