r₁ (t) = (4t+3,-4t - 3,3t - 4) r₂(t) = (118t, 8t - 11,2 - 6t) Choose the correct answer. The lines are skew. The lines are parallel. The lines are the same line.
r₁ (t) = (4t+3,-4t - 3,3t - 4) r₂(t) = (118t, 8t - 11,2 - 6t) Choose the correct answer. The lines are skew. The lines are parallel. The lines are the same line.
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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
Transcribed Image Text:(a) Determine if the lines are distinct parallel lines, skew, or the same line.
r₁ (t) = (4t + 3, -4t – 3,3t - 4)
r₂(t) = (11 8t, 8t - 11,2 - 6t)
Choose the correct answer.
The lines are skew.
The lines are parallel.
The lines are the same line.
(b) Determine if the lines are distinct parallel lines. If they are, find an equation of the plane containing the lines. If they are not
distinct parallel lines, enter DNE.
r₁ (t) = (-9t, 3t+1, 15t + 5)
r₂(t) = (3t – 3,−t + 4,5 − 5t)
(Express numbers in exact form. Use symbolic notation and fractions where needed. Give the equation in terms of x, y, and z. )
equation: (-9,3,15) = −3 (3,-1,-5)
Incorrect
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