A particle with charge q is projected successively along the x and y axes with same speed v. The force on the particle in these situations are `qvB (- 3 hat(j) + 4 hat(k))` & `qvB (3 hat(i))` respectively. Find the unit vector in direction of `vec(B)`

Explanation

To solve the problem, we need to find the unit vector in the direction of the magnetic field \( \vec{B} \) based on the forces experienced by a charged particle projected along the x and y axes.

### Step-by-Step Solution:

1. **Understand the Forces**:
- When the particle is projected along the x-axis, the force is given as:
\[
\vec{F_1} = qvB (-3 \hat{j} + 4 \hat{k})
...