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, the distance between the vectors.

Correct answer:

a =  5.099
b =  1.4142
A =  13.8979 °
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
b=v=vx2+vy2+vz2=02+12+12=2=1.4142
c=a bux vx+uy+vy+uy vy=5.099 1.41421 0+3+1+3 10.9707  A=π180°arccos(c)=π180°arccos(0.9707)=13.8979=13°5352"
w=uv w=(1,2,5)  h=w=wx2+wy2+wz2=12+22+(5)2=30=5.4772



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Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
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See also our trigonometric triangle calculator.

 
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