3. a) If ā = (2,3,7) and b = (-4, y,-14), for what values of y are äand b perpendicular? For what values of y are they collinear?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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3. a) If ā = (2,3,7) and b = (-4, y,-14), for what values of y are äand 5 perpendicular? For what
%3D
values of y are they collinear?
b) Find two unit vectors that are perpendicular to both vectors i = (2,0,–1) and ỷ = (-3,–4,1).
Are there any more that exist? (Explain)
Transcribed Image Text:3. a) If ā = (2,3,7) and b = (-4, y,-14), for what values of y are äand 5 perpendicular? For what %3D values of y are they collinear? b) Find two unit vectors that are perpendicular to both vectors i = (2,0,–1) and ỷ = (-3,–4,1). Are there any more that exist? (Explain)
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