Given tetrahedron ABCD, O , E are the midpoints of BD and BC , respectively. CA=CB=CD=BD=2 , AB=AD=\sqrt{2} .

(1) Prove AO\perp plane BCD ;

(2) find the cosine of the angle formed by the straight lines AB and CD in different planes.

(3) Find the distance from E to plane ACD

Steven Zheng Steven Zheng posted 2 months ago

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