Find the equation of the plane passing through the line of intersection of the planes ` vecr cdot( hat i+ hat j+ hat k)=1`and ` vecr cdot(2 hat i+3 hat j- hat k)+4=0`and parallel to x-axis.

Explanation

To find the equation of the plane passing through the line of intersection of the given planes and parallel to the x-axis, we can follow these steps:

### Step 1: Identify the equations of the given planes
The equations of the planes are:
1. \( \vec{r} \cdot (\hat{i} + \hat{j} + \hat{k}) = 1 \)
2. \( \vec{r} \cdot (2\hat{i} + 3\hat{j} - \hat{k}) + 4 = 0 \)

### Step 2: Write the equations in standard form
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