Dot product and angle between two vectors



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