Pre calculus question

label Mathematics
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schedule 1 Day
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Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5, -4>, v = <-4, -3>
     -9.1°
    1.8°
    0.9°
    11.8°

Feb 26th, 2015

(-5,-4) (-4,-3)

tan theta1 = 4/5

tan theta2 =3/4

tan theta = (4/5-3/4)/(1+4/5*3/4)= (16/20-15/20) /(1+3/5)=1/20*5/8=1/32

tan -1 (1/32) =1.7890  =1.80


Feb 26th, 2015

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