What is Transformation Equation? A point or a particle at any instant, in space has different cartesian coordinates in the different reference systems. The equation which provide the relationship between the cartesian coordinates of two reference system are called Transformation equations. Galilean Transformation Equation: Let us consider, two frames $S$ and $S'$ in which frame $S'$ is moving with constant velocity $v$ relative to an inertial frame $S$. Let The origin of the two frames coincide at $t=0$ The coordinate axes of frame $S'$ are parallel to that of the frame $S$ as shown in the figure below The velocity of the frame $S'$ relative to the frame $S$ is $v$ along x-axis; The position vector of a particle at any instant $t$ is related by the equation $ \overrightarrow{r'}=\overrightarrow{r}-\overrightarrow{v}t\qquad (1)$ In component form, the coordinate are related by the equations $\overrightarrow{

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