Calculate the value of `beta` in the unit vector `0.8 hati-0.4hatj-betahatk` .

Explanation

To calculate the value of `beta` in the unit vector \(0.8 \hat{i} - 0.4 \hat{j} - \beta \hat{k}\), we need to ensure that the magnitude of this vector is equal to 1, since it is a unit vector.

### Step-by-Step Solution:

1. **Understand the Definition of a Unit Vector**:
A unit vector is defined as a vector with a magnitude of 1.

2. **Write the Expression for the Magnitude**:
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