Determine whether the lines L₁ and L2 given by the vector equations are parallel, perpendicular, or neither. L₁: r(t) = (-2+ 4t)i + (2 + t)j L₂: r(s) = (1 + 2s)i + (3 - 8s)j O neither O perpendicular O parallel If the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine whether the lines L₁ and L2 given by the vector equations are parallel, perpendicular, or neither.
L₁: r(t) = (-2 + 4t)i + (2 + t)j
L₂: r(s) = (1 + 2s)i + (3 - 8s)j
neither
perpendicular
parallel
If the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.)
(
Transcribed Image Text:Determine whether the lines L₁ and L2 given by the vector equations are parallel, perpendicular, or neither. L₁: r(t) = (-2 + 4t)i + (2 + t)j L₂: r(s) = (1 + 2s)i + (3 - 8s)j neither perpendicular parallel If the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.) (
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