Hannrowliasi
Hannrowliasi Hannrowliasi
  • 18-07-2016
  • Mathematics
contestada

Find two unit vectors that make an angle of 60° with v = ‹6, 8›. Give your answers correct to three decimal places.

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meerkat18
meerkat18 meerkat18
  • 19-07-2016
We are given with an angle 60° with v = (6, 8) 
Then x^2+y^2=1 
Also a.v=a v cos60 
a.v=1*10*0,5=5 

Since a.v=6x+8y ,so 
6x+8y=5 (2) 

The equations are 
x^2+y^2=1  and 6x+8y=5  

We substitute 2 to 1, x^2 + [(5-6x)/8]^2 = 1
x then is equal to 0.9928 and y is equal to 0.12
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