Find the equations of the two lines through the origin which intersect the line `(x-3)/2=(y-3)/1=z/1` at angle of `pi/3` each.

Explanation

To find the equations of the two lines through the origin that intersect the given line at an angle of \(\frac{\pi}{3}\), we will follow these steps:

### Step 1: Write the equation of the given line in parametric form
The given line is represented as:
\[ \frac{x-3}{2} = \frac{y-3}{1} = \frac{z}{1} \]
Let this common ratio be \(\lambda\). Then we can express the coordinates \(x\), \(y\), and \(z\) as:
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