check Wether the vector `((hati)/sqrt (2)+(hatj)/sqrt(2))` is a unit vector or not .

Explanation

To determine whether the vector \(\left(\frac{\hat{i}}{\sqrt{2}} + \frac{\hat{j}}{\sqrt{2}}\right)\) is a unit vector, we need to calculate its magnitude and check if it equals 1.

### Step-by-step Solution:

1. **Identify the vector components**: The given vector can be expressed as:
\[ \vec{v} = \frac{\hat{i}}{\sqrt{2}} + \frac{\hat{j}}{\sqrt{2}} \]
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