A vector `vecX` is given an increment `|DeltavecX|`. Can the increment `DeltaX` in the magnitude of `vecX` be greater than or equal to the modulus of the increment of the vector, `|vecX|`? Give reason .

Explanation

To solve the question, we need to analyze the relationship between a vector \(\vec{X}\) and its increment \(\Delta \vec{X}\). We want to determine if the increment in the magnitude of \(\vec{X}\) can be greater than or equal to the modulus of the increment of the vector \(\Delta \vec{X}\).

### Step-by-Step Solution:

1. **Understanding the Vectors**:
- Let \(\vec{X}\) be a vector with a certain magnitude \( |\vec{X}| \).
- An increment \(\Delta \vec{X}\) is added to \(\vec{X}\), resulting in a new vector \(\vec{Y} = \vec{X} + \Delta \vec{X}\).

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