5. The vectors i = [1,0,0], j = [0,1,0] and ₹ = [0,0,1], are all perpendicular to each other. Determine 3vectors a, b, and c, none of which are parallel to i, j or k such that a, b, and c, are all perpendicularto each other. Justify your answer.

Let's say the vector a→ = [1, 1, 1] which is not parallel to any of the vectors i→, j→, and k→. And…

Answered: 5. The vectors i = [1,0,0], j = [0,1,0]…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.1: Rectangular Coordinate Systems

Problem 22E

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Similar questions

Mark each of the following statements true or false: Forvectorsu,v,andwinn,ifu+w=v+wthenu=v. Forvectorsu,v,andwinn,ifuw=vw,thenu=v Forvectorsu,v,andwin3,ifuisorthogonaltov,andvisorthogonaltow,thenuisorthogonaltow. In3,ifalinelisparalleltoaplaneP,thenadi-rectionvectordforlisparalleltoanormalvectornforP. In3,ifalinelisperpendiculartoaplaneP,thenadirectionvectordforlisaparalleltoanormalvectornforP. 3,iftwoplanesarenotparallel,thentheymustintersectinaline. In3,iftwolinesarenotparallel,thentheymustintersectinapoint. Ifvisabinaryvectorsuchthatvv=0,thenv=0. In5,ifab=0theneithera=0orb=0. ln6,ifab=0theneithera=0orb=0
Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)

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5. The vectors i = [1,0,0], j = [0,1,0] and k = [0,0,1], are all perpendicular to each other. Determine 3 vectors a, b, and c, none of which are parallel to i, j ork such that a, b, and c, are all perpendicular to each other. Justify your answer.