Find the angle between the planes ` vec rdot(2 hat i- hat j+ hat k)=6a n d vec rdot( hat i+ hat j+2 hat k)=5.`

Explanation

To find the angle between the two planes given by the equations \( \vec{r} \cdot (2\hat{i} - \hat{j} + \hat{k}) = 6 \) and \( \vec{r} \cdot (\hat{i} + \hat{j} + 2\hat{k}) = 5 \), we can follow these steps:

### Step 1: Identify the normal vectors of the planes
The normal vector of the first plane \( \vec{n_1} \) can be extracted from the coefficients of the first equation:
\[ \vec{n_1} = 2\hat{i} - \hat{j} + \hat{k} \]

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