(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the shortest distance between the 2 planes:

2x+2y-z=1 and 4x+4y-2z=5

How do we approach this problem?

I used the approach of finding the point at which the normal of one plane intersects the other plane and then determining the length of this vector. The answer I've got is 5/6 which is not correct. The correct answer is 1/2.

What is wrong with my approach? And how should we approach this problem?

Thanks.

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# Distance between 2 planes

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