2.1 Write down the coordinates of Q in terms of \( \beta \)

To express the coordinates of point Q in terms of \( \beta \), you would typically designate the coordinates of another relevant point, say P, in either a Cartesian or polar system and then apply any geometric transformations or rules that connect these points with respect to \( \beta \). For example, if point P has coordinates (x, y), then the coordinates of Q can be described as \( (x + r \cos(\beta), y + r \sin(\beta)) \), where \( r \) would be the distance from P to Q and \( \beta \) represents the angle from the x-axis. In more practical terms, let’s assume Q lies in a plane at an angle \( \beta \) relative to the origin O and at a distance d from O. You can express Q’s coordinates with a simple trigonometric transformation: \( Q (d \cos(\beta), d \sin(\beta)) \). This way, you have the perfect coordinate system to visualize Q's exact position!