Let u, v, and w be vectors in R³. Given that v and w are linearly independent, but u, vand w are linearly dependent, what conclusions can we draw?Vectors v and w span a plane.u. (V x W) = 0.Vectors v + w and v- w are linearly independent.vxw = 0.Vector u is a linear combination of v and w.

Answered: Image /qna-images/answer/f9ee02ef-0326-4dfa-a673-270f35cf5cc8.jpg

Answered: Let u, v, and w be vectors in R³. Given…

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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Let u, v, and w be vectors in R³. Given that v and w are linearly independent, but u, v and w are linearly dependent, what conclusions can we draw? Vectors v and w span a plane. u. (V x W) = 0. Vectors v + w and v w are linearly independent. vxw = 0. Vector u is a linear combination of v and w.