(a) Given a cylinder x² + y² = 1 and a plane x + z = 1. Find a vector-valued function r(t) that represents the curve of the intersection of the given cylinder and plane. (i) (ii) Calculate the unit tangent vector, T(t).

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(a)
Given a cylinder x² + y? = 1 and a plane x + z = 1.
Find a vector-valued function r(t) that represents the curve of the
intersection of the given cylinder and plane.
(i)
(ii)
Calculate the unit tangent vector, T(t).
Transcribed Image Text:(a) Given a cylinder x² + y? = 1 and a plane x + z = 1. Find a vector-valued function r(t) that represents the curve of the intersection of the given cylinder and plane. (i) (ii) Calculate the unit tangent vector, T(t).
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