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I. On a Chessboard a King Sits at a Position of +12 Em from the Lower Left Corner. A Knight Is +5.0cm from the Same Corner Along the

Question

i. On a chessboard a king sits at a position of +12 em from the lower left corner. A knight is +5.0cm from the same corner along the same straight line. What is the displacement from the king to the knight?(3) Draw a picture for full marks The displacement is -7 cm Ad=+12-(+5.0)=

i. On a chessboard a king sits at a position of +12 em from the lower left corner. A
knight is +5.0cm from the same corner along the same straight line. What is the
displacement from the king to the knight?(3) Draw a picture for full marks
The displacement is -7 cm
Ad=+12-(+5.0)=

Solution

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Answer

Here's the solution:1. **Understanding Displacement:** Displacement is a vector quantity, meaning it has both magnitude (size) and direction. It represents the change in position of an object. In this case, we're looking for the displacement *from* the king *to* the knight.2. **Setting up the Problem:** Let's consider the lower left corner of the chessboard as our origin (0 cm). The king is at +12 cm, and the knight is at +5.0 cm. We want to find the displacement from the king to the knight.3. **Calculating Displacement:** The displacement is the final position (knight's position) minus the initial position (king's position). Displacement = (Knight's Position) - (King's Position) Displacement = (+5.0 cm) - (+12 cm) Displacement = -7.0 cm4. **Interpreting the Result:** The negative sign indicates the direction. A displacement of -7.0 cm means the knight is 7.0 cm *behind* the king relative to the lower-left corner of the chessboard. In other words, to get from the king to the knight, you would move 7.0 cm towards the lower-left corner.**Diagram:**``` 0 cm +5 cm +12 cm |-------------------------------------------K-----------------------N---| Lower Left Corner ```Where:* K represents the King's position.* N represents the Knight's position.Therefore, the displacement from the king to the knight is .