Find the angle between the line `(x+1)/2=y/3=(z-3)/6`and the plane `10 x + 2y -11 z = 3`.

Explanation

To find the angle between the line given by the equation \((x+1)/2 = y/3 = (z-3)/6\) and the plane defined by the equation \(10x + 2y - 11z = 3\), we can follow these steps:

### Step 1: Identify the direction ratios of the line
The line can be expressed in parametric form. From the equation \((x+1)/2 = y/3 = (z-3)/6\), we can set:
- \(x + 1 = 2t \Rightarrow x = 2t - 1\)
- \(y = 3t\)
- \(z - 3 = 6t \Rightarrow z = 6t + 3\)

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