Find the angle between line `(x+1)/3=(y-1)/2=(z-2)/4` and the plane `2x+y-3z+4=0.`

Explanation

To find the angle between the line given by \(\frac{x+1}{3} = \frac{y-1}{2} = \frac{z-2}{4}\) and the plane defined by the equation \(2x + y - 3z + 4 = 0\), we can follow these steps:

### Step 1: Identify the direction ratios of the line
The line can be expressed in parametric form as:
- \(x = 3t - 1\)
- \(y = 2t + 1\)
- \(z = 4t + 2\)

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