Each race car has a 1 meter arrow attached to the hood of the car which points straight ahead. This arrow will measure the three dimensional vector that is the direction of travel. Is the direction of travel a property of the driver or the road? Be sure to explain your answer.
The turn signal is measured by checking to see if the steering wheel is turned left or right. We are not measuring how much the steering wheel is turned in either direction, just whether the wheel is turned left or right. If the steering wheel is not turned either way at the instant we measure , then we say there is no turn signal because the car isn’t turning at that instant. Is the turn signal a property of the driver or the road? Be sure to explain your answer.
The direction of turning is measured by using a 1 meter arrow that sticks perpendicularly out of the left side of the car when the steering wheel is turned left and out of the right side of the car when the steering wheel is turned right. We are not measuring how much the wheel is turned in either direction, just whether the wheel is turned left or right. If the steering wheel is not turned either way at the instant we measure the direction of turning, then we say there is no direction of turning because the car isn’t turning at that instant. Is the direction of turning as a vector in \(\mathbb{R}^3\) a property of the driver or the road? Be sure to explain your answer.
