# 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:

$b=\mathrm{\mid }v\mathrm{\mid }=\sqrt{{v}_{x}^{2}+{v}_{y}^{2}+{v}_{z}^{2}}=\sqrt{{0}^{2}+{1}^{2}+{1}^{2}}=\sqrt{2}=1.4142$

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Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
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Cosine rule uses trigonometric SAS triangle calculator.

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