Two direction angles of a vector are given. Find the third direction angle, give

waigaK

waigaK

Answered question

2021-08-17

Two direction angles of a vector are given. Find the third direction angle, given that is either acute.
β=2π3,γ=π4,α  is acute

Answer & Explanation

timbalemX

timbalemX

Skilled2021-08-18Added 108 answers

According to given details
β=2π3,γ=π4
Using trigonometry identities
cos2α+cos2β+cos2γ=1
cos2α+cos22π3+cos2π4=1
cos2α+(12)2+(12)=
cos2α14+12=1
cos2α=14
cosα=12
α=π3
α=60
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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