Find the equation of the plane passing through the intersection of the planes ` vec r*(2 hat i+ hat j-3 hat k)=7, vec r*(2 hat i+5 hat j+3 hat k)=9` the point `(2,1,3)dot`

Explanation

To find the equation of the plane passing through the intersection of the given planes and the point (2, 1, 3), we will follow these steps:

### Step 1: Write the equations of the given planes
The equations of the two planes are:
1. \( \vec{r} \cdot (2 \hat{i} + \hat{j} - 3 \hat{k}) = 7 \)
2. \( \vec{r} \cdot (2 \hat{i} + 5 \hat{j} + 3 \hat{k}) = 9 \)

### Step 2: Express the equation of the plane passing through the intersection
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