An object moves from position (3,4) to (6,5) in the xy-plane. Find the magnitude and direction of displacement vector of the particle.

Explanation

To find the magnitude and direction of the displacement vector of an object moving from position (3, 4) to (6, 5) in the xy-plane, we can follow these steps:

### Step 1: Identify Initial and Final Positions
The initial position of the object is given as \( (x_1, y_1) = (3, 4) \) and the final position is \( (x_2, y_2) = (6, 5) \).

### Step 2: Write Position Vectors
The initial position vector \( \mathbf{r_1} \) can be expressed as:
\[
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