# 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.

a =  5.099
b =  1.4142
A =  13.8979 °
h =  5.4772

### Step-by-step explanation:

$b=\mathrm{\mid }v\mathrm{\mid }=\sqrt{{v}_{x}^{2}+{v}_{y}^{2}+{v}_{z}^{2}}=\sqrt{{0}^{2}+{1}^{2}+{1}^{2}}=\sqrt{2}=1.4142$ Did you find an error or inaccuracy? Feel free to write us. Thank you! Tips to related online calculators
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
Pythagorean theorem is the base for the right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.

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