a) Determine the equation of the line ℓ passing through the points (2, 1, 3) and (3, 2, 6). (0.2) b) Determine the intersection between ℓ and the line ℓ " : (x, y, z) = (−2 − t, 2 + t, 1 + t), t ∈ R. (0,4) c) Determine the intersection between ℓ and the plane π : 2x − 3y + z = 2.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 7E
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a) Determine the equation of the line ℓ passing through the points (2, 1, 3) and (3, 2, 6). (0.2) b) Determine the intersection between ℓ and the line ℓ " : (x, y, z) = (−2 − t, 2 + t, 1 + t), t ∈ R. (0,4) c) Determine the intersection between ℓ and the plane π : 2x − 3y + z = 2.

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