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

2. a) Determine the equation of the line ℓ passing through the points (2, 1, 3) and (3, 2, 6). b) Determine the intersection between ℓ and the line ℓ ′ : (x, y, z) = (−2 − t, 2 + t, 1 + t), t ∈ R. 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 46EQ

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Question

2. a) Determine the equation of the line ℓ passing through the points (2, 1, 3) and (3, 2, 6).

b) Determine the intersection between ℓ and the line ℓ ′ : (x, y, z) = (−2 − t, 2 + t, 1 + t), t ∈ R.

c) Determine the intersection between ℓ and the plane π : 2x − 3y + z = 2.

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