A force acting on a body displaces it from position vector `vec(r_(1))=(2hati-hatj+3hatk)m" to "vec(r_(2))=(5hati-2hatj+4hatk)m`. Then find the displacement vector.

Explanation

To find the displacement vector when a body moves from position vector \(\vec{r_1} = (2\hat{i} - \hat{j} + 3\hat{k}) \, m\) to \(\vec{r_2} = (5\hat{i} - 2\hat{j} + 4\hat{k}) \, m\), we can follow these steps:

### Step 1: Identify the position vectors
The initial position vector is:
\[ \vec{r_1} = 2\hat{i} - \hat{j} + 3\hat{k} \]
The final position vector is:
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