Q8.3 3. A pair of lines in R³ are given. Determine whether they are parallel, intersecting or skew. If the linesintersect, find the point of intersection.a) r(t) = (2+ 4t, 6t, 4 – 2t)R(s) = (-2+ 2s,8+ 2s, 2 + 6s)b) L4 ===z+2L23

NOTE: Refresh your page if you can't see any equations. . lines are parallel if

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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter8: Linear Functions

Section8.3: Using Intercepts

Problem 6E

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Question

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

Expert Solution

Step 1

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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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