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

Kyran Hudson

Kyran Hudson

Answered question

2021-08-21

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

Answer & Explanation

Brighton

Brighton

Skilled2021-08-22Added 103 answers

According to given details
α=π3,γ=2π3
Using trigonometry identities
cos2α+cos2β+cos2γ=1
cos2π3+cos2β+cos22π3=1
(12)2+cos2β+(12)2=1
14+14+cos2β=1
cos2β=112
cos2β=12
cosβ=12
β=π4
β=45
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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