# 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:

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#### You need to know the following knowledge to solve this word math problem:

**geometry**- line
- vector
- scalar product
**arithmetic**- absolute value
**planimetrics**- Pythagorean theorem
- right triangle
- triangle
- The Law of Cosines
**numbers**- fractions
**goniometry and trigonometry**- cosine
- arccosine

#### Units of physical quantities:

#### Grade of the word problem:

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