Find the vector and the cartesian equations of the lines that passes through the origin and `(5, -2, 3)`.

Explanation

To find the vector and Cartesian equations of the line that passes through the origin and the point (5, -2, 3), we can follow these steps:

### Step 1: Identify the Points
The line passes through the origin (0, 0, 0) and the point (5, -2, 3).

### Step 2: Determine the Direction Ratios
The direction ratios of the line can be found by subtracting the coordinates of the origin from the coordinates of the point (5, -2, 3). Thus, the direction ratios (L, M, N) are:
- L = 5 - 0 = 5
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