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zezima1
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My book says that the total vector displacement around a closed loop is zero. Is this a general thing for every type of closed loop?
If so, should this be obvious?
If so, should this be obvious?
HallsofIvy said:In a Euclidean space, moving a vector around a closed loop will return it to exactly the same vector. In a more general space, moving a vector around a closed loop will return to the same point but the vector may not be pointing in the same direction.
Vector displacement around a closed loop is the total change in position of an object as it moves around a closed path. It is represented by a vector, which has both magnitude and direction.
Scalar displacement only considers the magnitude of the change in position, while vector displacement takes into account both magnitude and direction. This means that vector displacement can provide more detailed information about the movement of an object.
Vector displacement around a closed loop is important in physics because it helps us understand the motion and behavior of objects in a closed system. It can also be used to calculate other important quantities such as velocity and acceleration.
To calculate vector displacement around a closed loop, you must first measure the initial and final positions of the object and determine the change in position. Then, you can use vector addition to find the total displacement vector, taking into account the direction of movement around the loop.
Yes, vector displacement around a closed loop can be negative if the object moves in a direction opposite to the initial direction. This indicates that the object has moved backwards or in the opposite direction from its initial position.