tan(t) = |axb|/a.b = sqrt(13)/-6
t = tan-1(-sqrt(13)/6) + 180 = 149.0 degrees
||a|| * ||b|| * sinθ = ||a × b||
||a|| * ||b|| * sinθ = √((−3)²+(−2)²+(0)²)
||a|| * ||b|| * sinθ = √13
||a|| * ||b|| * cosθ = a · b
||a|| * ||b|| * cosθ = −6
(||a|| * ||b|| * sinθ) / (||a|| * ||b|| * cosθ) = √13/−6
tanθ = −√13/6
θ = 180°+tan⁻¹(−√13/6) ≈ 149°
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tan(t) = |axb|/a.b = sqrt(13)/-6
t = tan-1(-sqrt(13)/6) + 180 = 149.0 degrees
||a|| * ||b|| * sinθ = ||a × b||
||a|| * ||b|| * sinθ = √((−3)²+(−2)²+(0)²)
||a|| * ||b|| * sinθ = √13
||a|| * ||b|| * cosθ = a · b
||a|| * ||b|| * cosθ = −6
(||a|| * ||b|| * sinθ) / (||a|| * ||b|| * cosθ) = √13/−6
tanθ = −√13/6
θ = 180°+tan⁻¹(−√13/6) ≈ 149°