Find two unit vectors that make an angle of 60° with v = < 3, 4>.?
Find two unit vectors that make an angle of 60° with
v = <3, 4>
.
(Enter your answer as a comma-separated list of vectors. Round your answers to four decimal places.)
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The angle between <3,4> and the positive x-axis is arctan(4/3) = 53.1301°.
53.1301 + 60 = 113.1301
The unit vector that makes an angle of 113.1301 with the positive x-axis is
<-cos113.1301, sin113.1301>
The negative sign is needed because it's in the second quadrant.
That's <-0.3928, 0.9196> to 4 d.p.
To find the second unit vector you would subtract 60° instead of adding it.
I hope this helps.