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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. D₁ x + 2 = 4y = 2+3 D₂ : (x, y, z) = (3, 5, −2) + t (−1, 1, −1) : 4

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. D₁ x + 2 = 4y = 2+3 D₂ : (x, y, z) = (3, 5, −2) + t (−1, 1, −1) : 4

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