If a particle of charge `1mu C ` is projected into a magnetic field `vecB = (2hati+yhatj – zhatk)T` with a velocity ` vecV= (4hati +2 hatj - 6 hatk) ms^(-1)` , then it passes undeviated. If it is now projected with a velocity `vecV = hati + hatj ` , then find the force experienced by it

Explanation

To solve the problem, we need to find the force experienced by a charged particle when it is projected into a magnetic field with a specific velocity. Let's break down the solution step by step.

### Step 1: Identify the Given Values
- Charge of the particle, \( Q = 1 \, \mu C = 1 \times 10^{-6} \, C \)
- Magnetic field, \( \vec{B} = 2 \hat{i} + y \hat{j} - z \hat{k} \, T \)
- Initial velocity (undeviated), \( \vec{V_1} = 4 \hat{i} + 2 \hat{j} - 6 \hat{k} \, m/s \)
- New velocity, \( \vec{V_2} = \hat{i} + \hat{j} \, m/s \)

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