Space vectors 3D

The vectors u = (1; 3; -4), v = (0; 1; 1) are given. Find the size of these vectors, calculate the angle of the vectors, and the distance between the vectors.

Correct answer:

a =  5.099
b =  1.4142
A =  33.6901 °
h =  5.4772

Step-by-step explanation:

u=(1,3,4) v=(0,1,1)  a=u=ux2+uy2+uz2=12+32+(4)2=26=5.099
c=a bux vx+uy vy+uy vy=5.099 1.41421 0+3 1+3 10.8321  A=π180°arccosc=π180°arccos0.8321=33.6901=33°4124"
w = uv w=(1,2,5)  h=w=wx2+wy2+wz2=12+22+(5)2=30=5.4772

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