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Mathematics 17 Online
OpenStudy (anonymous):

Find two linearly independent vectors perpendicular to the vector v= <-8, 9, -3>

OpenStudy (zarkon):

don't do that...this problem is too easy for that

OpenStudy (zarkon):

that want L.I. vectors not orthogonal

OpenStudy (anonymous):

The vectors need to be perpendicular (in other words orthogonal).

OpenStudy (zarkon):

but they dont have to be orthogonal to each other

OpenStudy (zarkon):

just L.I.

OpenStudy (anonymous):

True

OpenStudy (zarkon):

I could use <9,8,0> and <0,3,9>

OpenStudy (anonymous):

How do you get to that answer?

OpenStudy (zarkon):

if v=<a,b,c> let w=<-b,a,0> then v.w =a(-b)+b(a)+c0=0

OpenStudy (zarkon):

thus \[\vec{v}\perp \vec{w}\]

OpenStudy (anonymous):

okay. Thansk for your help.

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