u=7i+3j+5k v=-8i+4j+2k determine if the 2 vectors make an acute angle, obtuse angle, or are orthogonal.

ganolrifv9 2022-07-31 Answered
u=7i+3j+5k
v=-8i+4j+2k
determine if the 2 vectors make an acute angle, obtuse angle, or are orthogonal.
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Answers (1)

Julianna Bell
Answered 2022-08-01 Author has 19 answers
u ( d o t ) v = | | u | | | | v | | cos θ.
u(dot)v=<7,3,5>(dot)<-8,4,2>=-56+12+10=-34.
| | u | | = ( 49 + 9 + 25 ) 1 / 2 = 83 1 / 2 , | | v | | = ( 64 + 16 + 4 ) 1 / 2 = 84 1 / 2 .
u ( d o t ) v = | | u | | | | v | | cos θ
34 = 6972 1 / 2 cos θ
34 / 6972 1 / 2 = cos θ
.407 = cos θ
arccos ( .407 ) = θ
114.03 degrees = θ .
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