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)jL₂: r(s) = (1 + 2s)i + (3 - 8s)jneitherperpendicularparallelIf the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.)(

Answered: Image /qna-images/answer/52f1656c-ada1-4d67-b9c5-a2ecc35d850b.jpg

Answered: Determine whether the lines L₁ and L2…

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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a. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8, 6) = -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form . [(-4,-8,6)] =

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