Dot product and angle between two vectors
Exercises
Set the sliders so that and .
1) Move the heads of the vectors and around the circumferences. What is the behaviour of ? Which are the maximum and minimum values? How are these values related to the angle between these vectors?
2) Which vectors satisfy ?
Next, change the moduli of and to a value of your choice. Repeat 1) and 2).
Relate your answers to the following result: if denotes the angle between and , then