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Question
Find two unit vectors orthogonal to both <1, -1, 1> and <0, 4, 4>.
The cross-product of two vectors yields another
vector that is orthogonal to the two of them.
Thus, <1, -1, 1> X <0, 4, 4> = <-8, -4, 4>
Now just normalize it (by dividing by its length):
<-8, -4, 4>/sqrt(96) then simplify.
The other one is the negative of that answer.
Abe
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| Comment | THANKS SOOO MUCH FOR showing the work, and helping me the see what i did wrong. thanks Abe! | ||
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Answers by Expert:
Abe Mantell
Expertise
Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!
Experience
Over 15 years teaching at the college level.
Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.
Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook
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