To find the line of intersection of two planes we calculate the vector product (cross product) of the 2 planes" normals. This gives us the direction vector of the line. We then find a point on the line by letting z = 0 in the Cartesian equation of the two planes' equations and solving simultaneously for x and y. Once we have both:
- a direction vector of the line
- a point on the line
we can write its vector equation.

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