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 the vector \( x(\hat{i} + \hat{j} + \hat{k}) \) is a unit vector, we can follow these steps:

### Step 1: Understand the definition of a unit vector
A unit vector is defined as a vector whose magnitude is equal to 1.

### Step 2: Write the vector in component form
The given vector can be expressed as:
\[
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