Find the value of x for which `x( hat i+ hat j+ hat k)`is a unit vector.

Explanation

To find the value of \( x \) for which \( x(\hat{i} + \hat{j} + \hat{k}) \) is a unit vector, we can follow these steps:

### Step 1: Understand the Definition of a Unit Vector
A vector is considered a unit vector if its magnitude is equal to 1.

### Step 2: Write the Given Vector
The vector given is:
\[
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