A particle is initially at point `A(2,4,6)m` moves finally to the point` B(3,2,-3)m`. Write the initial position vector,final position,and displacement vector of the particle.

Explanation

To solve the problem, we need to find the initial position vector, final position vector, and the displacement vector of a particle moving from point A to point B. Let's break it down step by step.

### Step 1: Identify the Initial Position Vector
The initial position of the particle is given by point A, which has coordinates \( A(2, 4, 6) \, \text{m} \).

The position vector \( \vec{A} \) can be expressed in terms of its coordinates as:
\[
\vec{A} = 2 \hat{i} + 4 \hat{j} + 6 \hat{k}
...