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3. A pair of lines in R3 are given. Determine whether they are parallel, intersecting or skew. If the lin intersect, find the point of intersection. a) r(t) = (2 + 4t, 6t, 4 – 2t) R(s) = (-2 + 2s,8 +2s, 2 + 6s) b) L ==- L2 == -6 z+2 3

3. A pair of lines in R3 are given. Determine whether they are parallel, intersecting or skew. If the lin intersect, find the point of intersection. a) r(t) = (2 + 4t, 6t, 4 – 2t) R(s) = (-2 + 2s,8 +2s, 2 + 6s) b) L ==- L2 == -6 z+2 3

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q8.3

3. A pair of lines in R³ are given. Determine whether they are parallel, intersecting or skew. If the lines intersect, find the point of intersection. a) r(t) = (2+ 4t, 6t, 4 – 2t) R(s) = (-2+ 2s,8+ 2s, 2 + 6s) b) L4 === z+2 L2 3
Transcribed Image Text:3. A pair of lines in R³ are given. Determine whether they are parallel, intersecting or skew. If the lines intersect, find the point of intersection. a) r(t) = (2+ 4t, 6t, 4 – 2t) R(s) = (-2+ 2s,8+ 2s, 2 + 6s) b) L4 === z+2 L2 3
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L_1:\:(a_1+b_1t, \:\:c_1+d_1t, \:\:e_1+f_1t)

L_2:\:(a_2+b_2t, \:\:c_2+d_2t, \:\:e_2+f_2t)

lines are parallel if 

\frac{b_1}{b_2}=\frac{d_1}{d_2}=\frac{f_1}{f_2}

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