Final answer:
To find the angle between two planes, calculate the dot product of their normal vectors and take the inverse cosine. To find the line of intersection, calculate the cross product of the normal vectors and use a point on one of the planes.
Step-by-step explanation:
To find the angle between two planes, we need to find the angle between their normal vectors. The normal vector of the first plane is (0, 0, -3) and the normal vector of the second plane is (2, 4, 0). Using the dot product, we can find the cosine of the angle between these two normal vectors. The angle between the planes can be found by taking the inverse cosine of this value.
To find the line of intersection, we can find a vector that is perpendicular to both normal vectors of the planes. This can be done using the cross product. The cross product of the two normal vectors gives us a vector that is parallel to the line of intersection. We can then use this vector, along with a point on one of the planes, to create a vector equation for the line of intersection.