Parametrically 6400

Find the angle of the line, which is determined parametrically x = 5 + t y = 1 + 3t z = -2t t belongs to R and the plane, which is determined by the general equation 2x-y + 3z-4 = 0.

Correct answer:

X =  30 °

Step-by-step explanation:

S = (1,3,−2) N = (2,−1,3)  p = S . N p=1⋅ 2+3⋅ (−1)+(−2)⋅ 3=−7  s=12+32+(−2)2​=14​≐3.7417  n=22+(−1)2+32​=14​≐3.7417  cos A =  ∣S∣.∣N∣∣p∣​  A=π180°​⋅arccos(s⋅ n∣p∣​)=π180°​⋅arccos(3.7417⋅ 3.7417∣(−7)∣​)=60 ∘ X=90−A=90−60=30∘=30°

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geometryarithmeticplanimetricsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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