Calculate 82992

Given cuboid ABCDEFGH. We know that |AB| = 1 cm, |BC| = 2 cm, |AE| = 3 cm. Calculate in degrees the angle size formed by the lines BG and FH .

Correct answer:

φ =  60.2551 °

Step-by-step explanation:

a=1 cm b=2 cm c=3 cm  φ =  BG , FH  u=(0, b,c) v=(a,b,0)  u=(0,2,3) v=(1,2,0)  s=ux vx+uy vy+uz vz=0 1+2 (2)+3 0=4  d1=s=(4)=4 d2=u=ux2+uy2+uz2=02+22+32=133.6056 d3=v=ux2+uy2+uz2+vx2+vy2+vz2=02+22+32+12+(2)2+02=52.2361  cos φ  = d2 d3d1  k=d2 d3d1=3.6056 2.236140.4961 Φ=arccosk=arccos0.49611.0517 rad  φ=Φ  °=Φ π180   °=1.0517 π180   °=60.255  °=60.2551=60°1518"



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