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High school mathematics requires judging the parallelism between solid geometric surfaces and surfaces. Standard proof process
The vector is represented by the following capital letters.

Let the normal vector of surface α be N 1 and the normal vector of surface β be N2.

Take the direction vectors A, B, C, D whose module length is not 0 on straight lines A, B, C, D respectively.

∫a∨c,b∨d .

∴A=nC,B=mD,n、m≠0.①

And N 1⊥A, b, n 1 a = 0, n 1 b = 0.

Substituting ① into ② gives NN 1 c = 0 and Mn 1 d = 0.

∴N 1⊥C and n 1 ⊥ d

Therefore, N 1 is also the normal vector of plane β, n 1∑N2.

∴ surface α ∑ surface β.