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

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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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step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

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step-by-step explanation:

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