# Vector sum

The magnitude of the vector

**u**is 12 and the magnitude of the vector**v**is 8. The angle between vectors is 61°. What is the magnitude of the vector**u + v**?### Correct answer:

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Our vector sum calculator can add two vectors given by their magnitudes and by included angle.

Cosine rule uses trigonometric SAS triangle calculator.

See also our trigonometric triangle calculator.

Cosine rule uses trigonometric SAS triangle calculator.

See also our trigonometric triangle calculator.

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

**geometry**- analytic geometry
- vector
**planimetrics**- triangle
- The Law of Cosines
**goniometry and trigonometry**- cosine

#### Units of physical quantities:

#### Grade of the word problem:

We encourage you to watch this tutorial video on this math problem: video1

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