Find the distance from the origin to each of the point:
`(-4,-3,-2)`

Answer

To find the distance from the origin to the point \((-4, -3, -2)\), we will use the distance formula in three-dimensional space. The distance \(d\) between two points \((x_1, y_1, z_1)\) and \((x_2, y_2, z_2)\) is given by:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \]

### Step-by-Step Solution:

1. **Identify the Points**:
- The origin is \((0, 0, 0)\).
- The given point is \(P(-4, -3, -2)\).
- Here, \((x_1, y_1, z_1) = (0, 0, 0)\) and \((x_2, y_2, z_2) = (-4, -3, -2)\).

2. **Substitute the Coordinates into the Distance Formula**:
\[ d = \sqrt{((-4) - 0)^2 + ((-3) - 0)^2 + ((-2) - 0)^2} \]

3. **Calculate Each Component**:
- Calculate \((-4 - 0)^2 = (-4)^2 = 16\)
- Calculate \((-3 - 0)^2 = (-3)^2 = 9\)
- Calculate \((-2 - 0)^2 = (-2)^2 = 4\)

4. **Add the Squares**:
\[ d = \sqrt{16 + 9 + 4} \]
\[ d = \sqrt{29} \]

5. **Final Result**:
The distance from the origin to the point \((-4, -3, -2)\) is \(\sqrt{29}\) units.