12.What will be the position of viewport to maintain same relativeplacement as in window? [5+5=10]

To maintain the same relative placement of elements in a viewport as in a window, you can follow these steps:

1. ### Break Down the Problem

1. Define the dimensions and position of the window.
2. Identify the viewport size and position.
3. Calculate the relative positions of all elements in the window.
4. Apply those relative positions to the viewport.

2. ### Relevant Concepts

1. Coordinate Systems: Understanding the coordinate system in both the window and viewport.
2. Proportional Scaling: Using proportions to scale element positions from the window to the viewport.

3. ### Analysis and Detail

1. Dimensions: Suppose the window has a width $W_w$ and height $H_w$, while the viewport has a width $W_v$ and height $H_v$.
2. Element Position: An element has a position defined by $(x, y)$ in the window.
3. Relative Position Calculation: $\text{Relative position in window} = \left(\frac{x}{W_w}, \frac{y}{H_w}\right)$
4. Viewport Position Calculation: $x_v = \text{Relative position in window} \times W_v$ $y_v = \text{Relative position in window} \times H_v$

4. ### Verify and Summarize

• Ensure that the values calculated for $x_v$ and $y_v$ maintain the same proportions as they did in the window.

Final Answer

The position in the viewport can be represented as: $\text{Viewport Position} = \left(\frac{x \times W_v}{W_w}, \frac{y \times H_v}{H_w}\right)$ This formula ensures that the relative placement of elements remains consistent, regardless of the window or viewport size.