What Is Free Vector In Physics The vector is 0 hat x 2 hat y where hat x and hat y are unit vectors in the x and y directions No matter where you are on the plane that vector will point up in the positive y direction
When considering basic Newtonian mechanics we can treat vector as free and move their point of application at will This is consistent with the affine nature of Euclidean space However when calculating torque on a body we must Here we introduce a few useful operations which are defined for free vectors If we multiply a vector A by a scalar the result is a vector B A which has magnitude B A The vector B is parallel to A and points in the same direction if 0 For 0 the vector B is parallel to A but points in the opposite direction antiparallel
What Is Free Vector In Physics
What Is Free Vector In Physics
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Vectors can be used to represent physical quantities Most commonly in physics vectors are used to represent displacement velocity and acceleration Vectors are a combination of magnitude and direction and are drawn as arrows The length represents the magnitude and the direction of that quantity is the direction in which the vector is A free vector is a vector that can be moved anywhere in space without changing its characteristics It is defined by its magnitude and direction and not by its initial point This means that if two vectors have the same magnitude and direction they are considered to be equal or identical regardless of their position in space
Position displacement velocity acceleration force and momentum are all physical quantities that can be represented mathematically by vectors The set of vectors and the two operations form what is called a vector space A free vector is one whose action is not confined to or associated with a unique line in space For example if a body is in translational motion velocity of any point in the body may be taken as a vector and this vector will describe equally well the velocity of every point in the body
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Free Vector A free vector is not located in any particular position We take arbitrarily any point O in space to be called the origin of reference It is defined as the smaller angle formed when the initial points or the terminal points of two vectors are brought together Vector quantity quantity with a magnitude and a direction It can be represented by a vector Examples displacement velocity acceleration Same displacement Displacement does not describe the object s path Scalar quantity quantity with magnitude no direction Examples temperature pressure
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The vector is 0 hat x 2 hat y where hat x and hat y are unit vectors in the x and y directions No matter where you are on the plane that vector will point up in the positive y direction
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When considering basic Newtonian mechanics we can treat vector as free and move their point of application at will This is consistent with the affine nature of Euclidean space However when calculating torque on a body we must
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