Asked by Grace
If α, β, and γ are direction angles for a vector in three dimensions and cos α = 0.6 and cos β = 0.7, find cos γ
Answers
Answered by
Steve
recall that
cos<sup>2</sup>α + cos<sup>2</sup>β + cos<sup>2</sup>γ = 1
.36 + .49 + cos<sup>2</sup>γ = 1
cos<sup>2</sup>γ = .15
cosγ = 0.38
cos<sup>2</sup>α + cos<sup>2</sup>β + cos<sup>2</sup>γ = 1
.36 + .49 + cos<sup>2</sup>γ = 1
cos<sup>2</sup>γ = .15
cosγ = 0.38
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