If `|veca|=4and-3lelamdale2`, then the range of `|lamdaveca|` is

Options

A. [8,0]
B. [-12,8]
C. [0,12]
D. [8,12]

Explanation

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

### Step-by-Step Solution:

1. **Understanding the Given Information:**
We know that the magnitude of vector \(\vec{a}\) is given as:
\[
|\vec{a}| = 4
...