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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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