Tuesday, November 22, 2011

How do you find a vector perpendicular to two parallel planes?

Plane 1: 3x+4y-2z=6


Plane 2: 3x+4y-2z=10





Write down a vector v with tail in plane 1 and head in plane 2 such that v is perpendicular to both the planes 1 and 2.|||I really wish I had more time to help with this, but I can very briefly get you started. Whichever is perpendicular to the first is perpendicular to the second if they are both parallel.





Now I might be entirely wrong about this, but I think looking into this page might help you:





http://en.wikipedia.org/wiki/Cross_product





I think the answer lies with the cross products of two vectors equaling 0. Remember - I might be entirely wrong about that!





Best of luck anyway :)

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