Find the angle between the line `vecr = (hati+ hatj + hatk) + lambda (2hatl - hatj + hatk), ` and the plane `vecr cdot (3hatl + hatj + hatk) =6`.

Explanation

To find the angle between the given line and the plane, we can follow these steps:

### Step 1: Identify the Direction Vector of the Line
The line is given by the vector equation:
\[ \vec{r} = (\hat{i} + \hat{j} + \hat{k}) + \lambda (2\hat{i} - \hat{j} + \hat{k}) \]
From this equation, we can extract the direction vector \(\vec{b}\) of the line, which is:
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