Question

One exploratory mapping session for a 1m by 1m can last 5 minutes. This new mapping system should be able to handle absolute coordinates in space, but the compass directions might not be available. Given: This mapping system uses cartesian system using as origin (0,0,0) the landing site. The robot starts the exploration at the point (1, 2, -3) and ends the exploration at the point (2, 0, 1). Find: Describe the trajectory of the move using the equation of line between the starting and the final location of the robot.

Answer 1

We have to find the line between the starting and the final location. We have that the parametrics equations of the line are

`\begin{gathered} x=1+t \\ y=2−2t \\ \begin{equation*} z=−3+4t \end{equation*} \end{gathered}`

The symmetric equations are

`x−1=(y−2)/(-2)=(z+3)/(4)`