?Consider the parallelepiped with edges OA, OB, and OC, where A(2, 1, 0), B(1, 2, 0)

Chapter 2, Problem 219

(choose chapter or problem)

Consider the parallelepiped with edges OA, OB, and OC, where A(2, 1, 0), B(1, 2, 0), and \(C(0,1, \alpha)\).

a. Find the real number \(\alpha>0\) such that the volume of the parallelepiped is \(3 \text { units }^{3}\) .

b. For \(\alpha=1\), find the height h from vertex C of the parallelepiped. Sketch the parallelepiped.

Text Transcription:

C(0,1, alpha)

alpha>0

3 units^3

alpha=1

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