Angle between vectors

  • Thread starter hazellaw
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how to find two vectors that make an angle of 60O with v=<3,4>??

can i let b=<x,y>, then

cos60=(3x+4y)/5sqrt(x2+y2)

5sqrt(x2+y2)=3x+4y
 

Answers and Replies

  • #2
tiny-tim
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Welcome to PF!

Hi hazellaw! Welcome to PF! :smile:

(have a square-root: √ and a degree: º :wink:)
how to find two vectors that make an angle of 60O with v=<3,4>??

can i let b=<x,y>, then

cos60=(3x+4y)/5sqrt(x2+y2)

5sqrt(x2+y2)=3x+4y
That'll certainly do it. :smile:

But easier would be

i] use <cosθ,sinθ> instead of <x.y>

or ii] write <3,4> in polar form (r,θ)

or iii] find the line perpendicular to <3,4>, and go along it the appropriate distance. :wink:
 

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