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Evaluate the expression. r = <7, -3, -7>, v = <4, 6, -5>, w = <-5, -6, -3> v ⋅ w
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@jdoe0001
@dan815
dot product u just multiply the corresponding numbers in each axis and add them up
like <a,b,c> . <d,e,f> = ad+be+cf
so in your case v . w = <4, 6, -5> . <-5, -6, -3> = 4*-6+6*-6+.... finish it
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-5*-6?
im confused wouldn't be 4*-5+6*-6+-5*-3?
=-41
yes
good
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can you help me with some more?
Find the angle between the given vectors to the nearest tenth of a degree. u = <8, 4>, v = <9, -9>
this time its finding an angle
u.v = |u||v|cos angle
confused with the cos angle
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wait is the answer 35.8degrees?
if so then i understand
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