It `| vec a|=4` and `-3 le lambda le 2,` then write the range of `lambda |vec a|`

Explanation

To solve the problem, we need to find the range of the expression \( \lambda |\vec{a}| \) given that \( |\vec{a}| = 4 \) and \( -3 \leq \lambda \leq 2 \).

### Step-by-Step Solution:

1. **Identify the Magnitude of the Vector**:
We know that \( |\vec{a}| = 4 \).

2. **Express the Product**:
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