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=143.7417  n=22+(1)2+32=143.7417  cosA=S.Np  A=π180°arccos(s np)=π180°arccos(3.7417 3.7417(7))=60  X=90A=9060=30=30°

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