If the sum of two unit vectors is a unit vector,then find the magnitude of their differences.

Explanation

To solve the problem, we need to find the magnitude of the difference between two unit vectors \( \mathbf{N_1} \) and \( \mathbf{N_2} \) given that their sum is also a unit vector. Let's break down the solution step by step.

### Step 1: Define the unit vectors
Let \( \mathbf{N_1} \) and \( \mathbf{N_2} \) be two unit vectors. Since they are unit vectors, we have:
\[ |\mathbf{N_1}| = 1 \quad \text{and} \quad |\mathbf{N_2}| = 1 \]

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