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.
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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
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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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