A charged particle moving in a magnetic field `vec(B) = hat(i) - hat(j)` tesla, has an acceleration of `2 hat(i) + alpha hat(j)` at some instant. Find the value of `alpha`

Explanation

To solve the problem, we need to find the value of \( \alpha \) given the magnetic field and the acceleration of the charged particle. Here’s a step-by-step solution:

### Step 1: Understand the Problem
We have a charged particle moving in a magnetic field represented by the vector \( \vec{B} = \hat{i} - \hat{j} \) tesla. The acceleration of the particle is given as \( \vec{a} = 2\hat{i} + \alpha\hat{j} \). We need to find the value of \( \alpha \).

### Step 2: Use the Relationship Between Force, Magnetic Field, and Acceleration
The force experienced by a charged particle in a magnetic field is given by the equation:
\[
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