If ` veca= vecb+ vecc`, then is it true that `| veca|=| vecb|+| vecc|`? Justify your answer.

Explanation

To determine whether the statement \( |\vec{a}| = |\vec{b}| + |\vec{c}| \) is true given that \( \vec{a} = \vec{b} + \vec{c} \), we can analyze the situation using vector properties and the triangle inequality.

### Step-by-Step Solution:

1. **Understanding the Vector Equation**:
We start with the equation \( \vec{a} = \vec{b} + \vec{c} \). This means that vector \( \vec{a} \) can be represented as the sum of vectors \( \vec{b} \) and \( \vec{c} \).

2. **Visualizing the Vectors**:
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