Angle Between Two Planes

Step 1: The normal vector of the first plane is , and the normal vector of the second plane is . For the planes to be parallel, the normal vectors must be proportional, meaning the ratio of the corresponding components of the normal vectors must be equal: Solving , we find that .
Step 2: Now, we need to find the equation of the plane passing through the point with the normal vector . The general equation of a plane is: Substitute , , , and the point into the equation: Step 3: Simplify the equation: Thus, the equation of the plane is .