Find the angel between the lines `2x=3y=-za n d6x=-y=-4zdot`

Explanation

To find the angle between the lines given by the equations \(2x = 3y = -z\) and \(6x = -y = -4z\), we can follow these steps:

### Step 1: Identify the Direction Ratios
The first line can be expressed as:
\[ \frac{x}{\frac{1}{2}} = \frac{y}{\frac{1}{3}} = \frac{z}{-1} \]
From this, we can identify the direction ratios \(a_1, b_1, c_1\) of the first line:
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