firetiger2815
firetiger2815 firetiger2815
  • 11-05-2021
  • Mathematics
contestada

Find the angle between u = <2,-1>​, and v​ = <5,-2>, to the nearest tenth of a degree.

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erekiya16 erekiya16
  • 11-05-2021

Answer:

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Step-by-step explanation:

If θ is the angle between two vectors u and v, then cosθ = (u·v) / [llull llvll]

u·v = (2)(3) + (-4)(-8) = 38

llull = √[(2)2 + (-4)2] = √20 llvll = √[(3)2+(-8)2] = √73

So, cosθ = 38 / [√1460]

= 0.9945

θ = Cos-1(0.9945) ≈ 6.0°

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