If `overset(rarr)A=(2 hat i+2 hat j + 2 hat k)` and `overset(rarr)B=(3 hat i+ 4 hat j)` Determine the vector having magnitude as `overset(rarr)B` and parallel to .`overset(rarr)A`

Explanation

To solve the problem, we need to find a vector that has the same magnitude as vector **B** and is parallel to vector **A**. Here are the steps to find that vector:

### Step 1: Identify the vectors
Given:
- **A** = \( 2 \hat{i} + 2 \hat{j} + 2 \hat{k} \)
- **B** = \( 3 \hat{i} + 4 \hat{j} \)

### Step 2: Calculate the magnitude of vector **B**
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