For the pair of vectors, find 
. 
Definitions:
Touch Pad
A touch-sensitive interface used as an input device for computers and other electronic devices, allowing users to control and navigate by touch.
Mouse
A hand-operated electronic device that controls the coordinates of a cursor on your computer screen as you move it around on a pad.
PID
Stands for Proportional-Integral-Derivative, a control loop feedback mechanism widely used in industrial control systems to regulate temperature, flow, pressure, speed, and other variables.
J1587
The software multiplexing protocols used by first-generation truck data bus backbones; retained as auxiliary bus in the J1939 data bus up to 2010.
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