It is 18 yards West.
The law is used to add vectors to find the resultant of two or more vectors acting at a point.
resultant
120 deg
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.
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.
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.
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.
The law is used to add vectors to find the resultant of two or more vectors acting at a point.
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.
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.
resultant
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.
120 deg
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.
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.
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.
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.