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This can be a great way to check your work or to see How to tell if two planes intersect.

In general, if two planes are parallel, then that means their normal vectors, 𝐧 one and 𝐧 two, are equal to one another to within a constant value. In other words, there exists some constant

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We'll use the method of elimination. Since in both equations, x has a coefficient of 1, we'll subtract the two equations to eliminate x. If we subtract x + y + z + 1 = 0 from x + 2 y + 3 z + 4 = 0, we

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The intersection of two planes is always a line. If two planes intersect each other, the intersection will always be a line. The vector equation for the line of intersection is given