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What is a vector triangle
The vector representation is to use a line segment plus an arrow to represent a physical quantity. The length of the line segment represents the magnitude of the vector quantity, and the arrow indicates its direction. If there are two forces, the magnitude direction is different, use an appropriate amount of triangle to find out the magnitude of their resultant force, then connect the tail of the second force to the head of the first force, their resultant force is the...
The vector representation is to use a line segment plus an arrow to represent a physical quantity. The length of the line segment represents the magnitude of the vector quantity, and the arrow indicates its direction. If there are two forces, the magnitude direction is different, use an appropriate amount of triangle to determine the magnitude of their resultant force, then connect the tail of the second force to the head of the first force, their resultant force is the...
The vector representation is to use a line segment plus an arrow to represent a physical quantity. The length of the line segment represents the magnitude of the vector quantity, and the arrow indicates its direction. If there are two forces, the magnitude direction is different, use an appropriate triangle to determine the magnitude of their resultant force, then connect the tail of the second force to the head of the first force, their resultant force is the...
Vector triangle
When an object is balanced by three co-point forces, the vector arrows of these three forces end to end to form a closed, which is! \X0d If the three force vectors are connected to form a closed triangle, the resultant force of the three forces must be zero.\x0d In the application of the method, some mathematical knowledge is often used: trigonometric function method, triangular graphical method, sine theorem and similar triangle method.\x0d Method is often used when analyzing the dynamic change of the vector. Especially when the combined vector is unchanged, the direction of one vector is unchanged, and the size and direction of the other vector are analyzed, it is more suitable for use! \X0d In fact, the method is derived from the parallelogram method, but it is more widely used than the parallelogram method, because the parallelogram method can not be applied to the synthesis of collinear forces. There is also an important point: the vector can be translated, provided that its direction and the direction of the arrow can not be changed!
Dynamic Change of Vector Triangle Correlation method
A closed triangle is formed by connecting to form a closed triangle, and then the dynamic change of the closed triangle is drawn according to the change of the direction or magnitude of the force. The change of the magnitude of each force can be directly obtained from the figure.
As shown in the figure
The forces are connected end to end to form a closed triangle, and then the dynamic change of the closed triangle is drawn according to the change of the direction or magnitude of the force. The change of the magnitude of each force can be directly obtained from the figure.
As shown in the figure
Is the angle between two component vectors in a triangular rule the same as the angle between two component vectors in a parallelogram rule? Is it substantially the same?
The angle of the vector is the angle of the vector direction.
Triangular rules and parallelogram rules are essentially the same because the vector can be translated arbitrarily
Set vector A =(1,−3), B =(−2,4) if represents vector 4 A,3 B−2 A, If the beginning and end of the directed line segment of c can form a triangle, then the vector C is ______. Set vector A =(1,−3), B =(−2,4) if represents vector 4 A,3 B−2 A, If the beginning and end of a directed line segment of c can form a triangle, then the vector C is ______.
4
A =(4,-12),3
B-2
A =(-8,18),
Set vector
C =(x, y),
According to the meaning of the title, get 4
A+(3
B-2
A)+
C =0,
So 4-8+x=0,-12+18+y=0,
X=4, y=-6,
Therefore, the answer is:(4,-6).
Is it true that three forces acting on the same object must form a vector triangle
No, only if the three forces remain at rest (as long as the balance of the three forces is guaranteed, the three forces are coplanar: any one of them is balanced by the resultant of the other two)
No, only if the three forces remain at rest (as long as the three forces are balanced, the three forces are coplanar: any one of them is balanced by the resultant of the other two)
RELATED INFORMATIONS
- 1. What is the resultant force of the three force vector segments if they are connected in order to form a closed triangle
- 2. Coordinate representation of vectors Two straight lines are respectively x and y, intersect with point O in the same plane,∠xOy=60°, and any point P in the plane is defined as follows with respect to this coordinate system: The two lines are respectively x and y, intersect with point O in the same plane,∠xOy=60°, and any point P in the plane is defined in this coordinate system as follows: if the vector of OP=xe1+ye2(where e1 is the unit vector in the same direction as the x axis and y axis respectively), then the oblique coordinate of point P is (x, y) (1) If the oblique coordinate of point P is (1,-2), find the distance from P to O. (2) If a circle with O as its center and 1 as its radius is an equation in the oblique coordinate system xOy
- 3. Given the plane vector OP=λOA OB, R, then the necessary and sufficient conditions for the colline if and only if If the plane vector OP=λOA OB, R, then P, A, B are collinear if and only if
- 4. Of the following physical quantities, the rate of mass D of the AB path C follows the parallelogram rule in addition Of the following physical quantities, the parallelogram rule is followed in addition at the rate of mass D of the AB path C
- 5. Is it possible to use the parallelogram rule if it is difficult to calculate the resultant force of two forces
- 6. The formula for calculating the area of a parallelogram is ______.
- 7. What is the difference between vectors a*b and b*a In this vector problem," if the vectors a and b are not collinear, a*b is not equal to 0. And c=a-[(a*a)/(a*b)] b, the angle between a and c is? "I don't understand the difference between vectors a*b and b*a
- 8. Vector |a|=3,|b|=26,|axb|=72, find |a·b|=
- 9. Explain the "vector product properties" Is the vector multiplied by itself equal to 0 Explain the vector product properties. Is vector multiplied by itself equal to 0
- 10. Is the square of a vector equal to the square of a vector module
- 11. Acceleration is vector or scalar, Such as title
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- 13. What is the difference between a vector and a scalar
- 14. Was the energy a scalar or a vector? Teacher said it was a scalar ~ but why is everyone still talking about positive energy and negative energy? Since it is a scalar, there is no direction. According to everyone, energy is a vector ~ Is energy scalar or vector? The teacher said it was a scalar ~ but why are you still talking about positive energy and negative energy ~ Since it is a scalar, what direction is there?~ According to everyone, energy is a vector ~ or the teacher is wrong ~ Is energy scalar or vector? The teacher said it was a scalar ~ but why is everyone still talking about positive energy and negative energy ~ since it is a scalar, what direction is there?~ According to everyone, energy is a vector ~ or the teacher is wrong ~
- 15. The absolute value of vector a is known to be equal to root number 2, the absolute value of vector b is known to be equal to root number 3, and the angle between vector a and vector b is 45 degrees Find the value range of λ whose angle between a vector b vector and λa vector +b vector is an acute angle. The absolute value of vector a is known to be equal to root number 2, the absolute value of vector b is known to be equal to root number 3, and the angle between vector a and vector b is 45 degrees The the value range of λ whose angle between a vector b vector and λa vector +b vector is an acute angle.
- 16. Set vector groups a1, a2... An is linearly related and a1 is not equal to zero proves that there is a vector ak (2 Don't paste the problem in Baidu, that is not very detailed, anyway I do n' t understand... Let the vector group a1, a2... An is linearly related and a1 is not equal to zero proves that there is a vector ak (2 Don't paste the problem in Baidu, that is not very detailed, anyway I do n' t understand... Let the vector group a1, a2... An is linearly related, and a1 is not equal to zero proves that there is a vector ak (2 Don't paste the problem in Baidu, that is not very detailed, anyway I do n' t understand...
- 17. Vector Expression of Outer Center, Inner Center, Center of Gravity and Vertical Center of Triangle VECTOR EXPRESSIONS OF THE PROPERTIES OF THE OUTER CENTER, INNER CENTER, CENTER OF GRAVITY AND PERPENDICULAR CENTER OF TRIANGLE
- 18. Note again whether it is a vector or a scalar Rate, Average rate Then indicate whether it is a vector or a scalar Rate, Average rate
- 19. Point A (-3.2), point B (3.6), point C satisfies vector AC = vector CB, then vector AB is multiplied by vector AC =?
- 20. In a parallelogram, what process is the vector AB + vector CB-vector DC equal to