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Let D1 and D2 be two lines of R3. (a) Calculate the distance between lines D1 and D2; explain your calculations by giving the meaning of the different elements in the formula used.

Let D1 and D2 be two lines of R3. (a) Calculate the distance between lines D1 and D2; explain your calculations by giving the meaning of the different elements in the formula used.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let D1 and D2 be two lines of R3.
(a) Calculate the distance between lines D1 and D2; explain your calculations by giving the meaning of the different elements in the formula used.
(b) Give the coordinates of the point P ∈ D2 closest to the point X(1,3,0).
(c) What is the distance between D1 and D3: (x, y, z) = (−6,7,−3) +t(2,−6,8)? Give the meaning of the different elements appearing in the formula used.

z+3 D₁ : x + 2 = 4y = 4y = 2+³ D₂ : (x, y, z) = (3, 5, —2) + t (−1, 1, −1)
Transcribed Image Text:z+3 D₁ : x + 2 = 4y = 4y = 2+³ D₂ : (x, y, z) = (3, 5, —2) + t (−1, 1, −1)
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