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Maths - Vectors

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The position vectors a,b,c of the points A,B,C relative to the origin O are ai, bj and ck respectively.Find:

1) a vector equation for the line l throught O which is normal to the plane ABC.

2) a vector equation of the plane ABC


The answers should be:
1) r=t(bc i +ac j +ab k) and
2)r.(bc i +ac j +ab k) = abc

Can someone please explain how to work this question? Thanks!

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