Given that the forces F1, F2 and F3 satisfy | F1 | = | F2 | = | F3 | = 1, and F1 + F2 + F3 = 0, then | F1-F2 | = 1 Plane vector problem > | Math enthusiast | Mathematical art

Given that the forces F1, F2 and F3 satisfy | F1 | = | F2 | = | F3 | = 1, and F1 + F2 + F3 = 0, then | F1-F2 | = 1 Plane vector problem >

Note: it can be related to physics
This is a common problem of force balance at the same point. The third order force is zero, and the three forces are plotted at 120 ° intervals. F1-F2 is closed and connected, which is an equilateral triangle. The result is 1
We need to connect all subjects so that knowledge can form a smooth circuit in the brain, right?

RELATED INFORMATIONS

1. A particle is in equilibrium under the action of three forces F1, F2 and F3 (unit: Newton) on the plane. Given that F1 and F2 form an angle of 60 ° and the sizes of F1 and F2 are 2 and 4 respectively, the size of F3 is 0______ ．
2. A body is in a state of uniform linear motion under the combined action of several constant forces. If one F1 suddenly stops acting and the other forces remain unchanged, then () A. The object continues to move in a straight line at a constant speed. B. the object will be stationary. C. the speed of the object's motion must remain unchanged. D. the direction of the object's motion may remain unchanged
3. The object is in equilibrium under the action of several constant forces. If another constant force is applied to the object, the object may do () A. Stationary or uniform linear motion B. uniform linear motion C. curvilinear motion D. uniform curvilinear motion
4. The object is in equilibrium under the action of several forces. If a constant force is applied to the object, the object may do () A. Uniform linear motion or stationary B. uniform linear motion C. curvilinear motion D. uniform curvilinear motion
5. A body is in equilibrium under the action of several forces. If a constant force is applied to the body, why can't the body be still or move in a straight line at a constant speed? Can't an object move in a straight line at a constant speed when it is stationary? Or can it move in a straight line at a constant speed when it is stationary?
6. The object is in equilibrium under the action of N constant forces. The mass of the object is known to be m. The magnitude of one of the N constant forces is f, and the direction is horizontal and eastward 1. Remove F 2. Change force F to horizontal south 3. Change force F to 60 ° East by south 4. Change force F to horizontal West
7. When a stationary particle starts to move under the action of two constant forces F1F2 which form an acute angle with each other, and one of the forces is removed after a period of time, the motion of the particle in the two stages before and after removing the force is () A uniformly accelerating linear motion. Uniformly decelerating linear motion B uniformly accelerated linear motion. Uniformly variable speed curvilinear motion C. uniform velocity curve motion. Uniform velocity circular motion D uniformly accelerated linear motion. Uniform circular motion Why B? C.D. circular motion is wrong?
8. A particle starts to move from rest under the action of two forces F1 and F2 which form an acute angle with each other. If the direction of the two forces remains unchanged, but F1 suddenly increases to F1 If + Δ F, then the particle must move in a constant velocity curve
9. Two objects a and B with the same initial kinetic energy act on a and B respectively with constant force F1 and F2 to make them stop at the same time and compare the size of F1 and F2
10. F1 and F2 are two horizontal constant forces acting on the object P, with the magnitude of F1 = 3nf2 = 4N, In the process of making the object P move 5 m from static to horizontal, how much work do they do to the object? What is the algebraic sum of their work to the object? How much work do the resultant force of F1 and F2 do to the object? The direction of F1 is vertical downward, and the direction of F2 is horizontal right
11. Given that the absolute values of the three forces F1, F2 and F3 are equal, all = 1, and the sum of the three forces is 0, what is the absolute value of F1-F2?
12. When an object moves in a straight line at a constant speed under the action of F1, F2, F3 and FN, if the force F2 is suddenly removed, how will the object move?
13. The object with mass m moves in a uniform straight line under the action of three common forces F1, F2 and F3 Keeping F1 and F2 unchanged, it's impossible to change the F3 direction by 90 degrees A uniform linear motion B-uniform acceleration linear motion C uniform deceleration linear motion D-uniform variable speed curvilinear motion
14. The object moves in a straight line at a constant speed under the action of common point forces F1, F2 and F3. The correct value of these three forces is () A. 15N、5N、6NB. 1N、2N、10NC. 3N、4N、5ND. 1N、6N、3N
15. Under the combined action of forces F1, F2, F3 and F3, the object moves in a straight line at a constant speed. If the external force F1 is suddenly removed, the motion of the object is () A. It is necessary to make a uniform acceleration linear motion along the direction of F1. B. It is necessary to make a uniform deceleration linear motion along the direction of F1. C. It is still a uniform linear motion. D. it may be a linear motion or a curve motion
16. The known vector a + B = 2i-8j Given the vector a + B = 2i-8j, A-B = - 8i + 16J, the problem of finding a * B does not tell that I and j are unit vectors
17. In the tetrahedral o-abc of high school mathematics, OA = vector a, OB = vector B, OC = vector C, e is the midpoint of AD, D is the midpoint of BC, and the vector a, B, C is used to represent the vector OE
18. Vector a is equal to (2k, 1), vector B is equal to (3, - 2), and vector A / / vector B, find the value of real number K
19. Given the vector a = (1, K), B = (2k, m) and a ⊥ B, / A / = / B /, find the value of real number k, M 2. Vector a + vector b 3. / vector a + vector b/
20. Given (a ^ 2-3a-1) + (a ^ 2-5a-6) * I = 3, find the value of real number a