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March 15, 2026, 09:14:50 pm
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Author Topic: Unit vector question  (Read 932 times)  Share 

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dekoyl

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Unit vector question
« on: February 15, 2009, 08:50:56 pm »
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A and B are defined by the position vectors a = 2i - 2j - k and b = 3i + 4k.
Find the unit vector which bisects

I wrote a while a go but I forgot what to do from there (if it's even correct).

Thanks.
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dekoyl

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Re: Unit vector question
« Reply #1 on: February 15, 2009, 09:00:18 pm »
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The appears to be right.

(Answer after some fiddling around is )

Could anyone explain why this was used? :P I think I might've scribbled this down from a teacher. Thanks.
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Mao

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Re: Unit vector question
« Reply #2 on: February 15, 2009, 09:18:24 pm »
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have never seen that notation, but the principle is right, the unit bisector of two vectors is the unit vector of the sum of the two unit vectors. draw this out graphically, and you'll see a rhombus formed by the parallel addition of the two unit vectors, the diagonal [the vector sum] bisects the angle in between.
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