A charged particle has acceleration `vec a = 2 hat i + x hat j ` in a megnetic field `vec B = - 3 hat i + 2 hat j - 4 hat k.` Find the value of x.

Explanation

To find the value of \( x \) in the given problem, we will follow these steps:

### Step 1: Understand the relationship between acceleration, magnetic field, and force.
The force acting on a charged particle moving in a magnetic field is given by:
\[ \vec{F} = q (\vec{v} \times \vec{B}) \]
According to Newton's second law, this force can also be expressed as:
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