Vector sum
The magnitude of the vector u is 2 and the magnitude of the vector v is 11. The angle between vectors is 64°. What is the magnitude of the vector u + v?
Correct answer:

Tips for related online calculators
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
The Pythagorean theorem is the base for the right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.
The Pythagorean theorem is the base for the right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.
You need to know the following knowledge to solve this word math problem:
- geometry
- analytic geometry
- vector
- arithmetic
- square root
- planimetrics
- Pythagorean theorem
- triangle
- The Law of Cosines
- goniometry and trigonometry
- cosine
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Scalar dot product
Calculate u.v if |u| = 5, |v| = 2 and when the angle between the vectors u, v is: a) 60° b) 45° c) 120°
- Vectors
Find the magnitude of the angle between two vectors u = (3; -5) and v = (10; 6)
- North + west
Find the magnitude of the resultant of the given vectors: vector 1:2 m/s, north vector 2:7 m/s, west
- Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (6, 22) and v = (10, -11)
- Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
- Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
- Perpendicular 81758
Distribute the force of magnitude F = 100 N into two perpendicular components with magnitudes F1 and F2 so that the angle between forces F1 and F is 43°52'.