5. Show that the vectors a = 3i-j+ 4k, b =i-3j-2k and e = 4i– 3j+2k are linearlyindependent. Find numbers a, B and y such that d = 2i + 3j – k can be expressedin the form d= aa + Bb + 7c.

Answered: Image /qna-images/answer/c3b6f002-0ba4-4e08-b01f-6d67e2394756.jpg

Answered: 5. Show that the vectors a = 3i-j+ 4k,…

5. Show that the vectors a = 3i-j+ 4k, b =i-3j–2k and e = 4i– 3j+2k are linearly independent. Find numbers a, 3 and y such that d = 2i + 3j – k can be expressed in the form d= aa + Bb + 7e. %3D

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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Concept explainers

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.

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5. Show that the vectors a = 3i-j+ 4k, b =i-3j-2k and e = 4i– 3j+2k are linearly
independent. Find numbers a, B and y such that d = 2i + 3j – k can be expressed
in the form d= aa + Bb + 7c.

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