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What are the applications of Parallelogram law of vectors?
The law is used to add vectors to find the resultant of two or more vectors acting at a point.
If the sum of the two unit vectors is also a unit vector find the magnitude of their difference?
resultant
Two vectors of equal magnitude have got a resultant whose magitude is equal to either one of them. Find the angle between the two vectors?
120 deg
Can three vectors not in one plane give zero resultant?
No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line. For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero. Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.
How do you find vector components when given the vectors are parallel and the magnitude of each vector is equal to 1?
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
What are the different methods of determining the resultant of vector?
The two main methods for determining the resultant of vectors are the graphical method, where vectors are drawn to scale and added tip-to-tail to find the resultant, and the component method, where vectors are broken down into their horizontal and vertical components which are then added separately to find the resultant.
What are the different methods in adding vectors?
Vectors can be added using the component method, where you add the corresponding components of the vectors to get the resultant vector. You can also add vectors using the graphical method, where you draw the vectors as arrows and then add them tip-to-tail to find the resultant vector. Additionally, vectors can be added using the trigonometric method, where you use trigonometry to find the magnitude and direction of the resultant vector.
What are the applications of Parallelogram law of vectors?
The law is used to add vectors to find the resultant of two or more vectors acting at a point.
What is the component method in adding vectors?
The component method involves breaking down vectors into their horizontal and vertical components. To add vectors using this method, you add the horizontal components to find the resultant horizontal component, and then add the vertical components to find the resultant vertical component. Finally, you can use these resultant components to calculate the magnitude and direction of the resultant vector.
How can you add vectors tip to tail to find the resultant vector?
To add vectors tip to tail to find the resultant vector, place the tail of the second vector at the tip of the first vector. The resultant vector is the vector that starts at the tail of the first vector and ends at the tip of the second vector.
Find resultant of two vectors one at an angle of 30 degree clockwise to horizontal and other vector 60 degree anticlockwise to horizontal from one point?
To find the resultant of the two vectors, break each vector into its horizontal and vertical components. Then add these components separately to find the total horizontal and vertical components. Finally, use these components to calculate the magnitude and direction of the resultant vector using trigonometry.
If the sum of the two unit vectors is also a unit vector find the magnitude of their difference?
resultant
Compare the different methods in determining the resultant vector?
The graphical method involves using vector diagrams to visually represent the vectors and their resultant. The analytical method involves breaking down the vectors into their components and then summing the components to find the resultant. The trigonometric method uses trigonometric functions to calculate the magnitude and direction of the resultant vector.
Two vectors of equal magnitude have got a resultant whose magitude is equal to either one of them. Find the angle between the two vectors?
120 deg
What are the component method of adding vectors?
The component method of adding vectors involves breaking down each vector into its horizontal and vertical components. Then, add the horizontal components together to get the resultant horizontal component, and add the vertical components together to get the resultant vertical component. Finally, combine these two resultant components to find the resultant vector.
How do you find the location of resultant?
To find the location of the resultant, you can use the parallelogram rule or the triangle rule of vector addition. Locate the endpoints of the vectors you are adding, draw the resultant vector connecting the initial point of the first vector to the terminal point of the last vector, and then find the coordinates of the endpoint of the resultant vector.
What are Different methods to calculate resultant of two forces?
Two methods to calculate the resultant of two forces are the graphical method, where the forces are represented as vectors and then added tip-to-tail to find the resultant, and the trigonometric method, where the forces are resolved into x and y components and then the components are added separately to find the resultant force.
