Geometric Vector Math
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A vector is an object that has both a magnitude and a direction.
Geometric vector math. Vector math serves as a kind of geometric scaffolding to give direction and orientation to geometry as well as to conceptualize movements through 3d space without visual representation. Geometrically we can picture a vector as a directed line segment whose length is the magnitude of the vector and with an arrow indicating the direction. Stack vectors are elements of the vector space dual to the space of arrows. It looks like a directed line segment.
The direction indicates the direction of the vector. A vector is a quantity that has both magnitude and direction. Now in mathematics a vector is represented geometrically by a directed line segment like this one ab and this is the notation for a vector notice the sort of half arrow over the top of them it s not the same as the notation for a ray which is a full arrow so that would be a ray this would be vector. A vector with its initial point at the origin is in standard position.
Two vectors are the same if they have the same magnitude and direction. At its most basic a vector represents a position in 3d space and is often times thought of as the endpoint of an arrow from the position 0 0 0 to that position. The recipe for the computation of the dot product is again geometric and has the curious property of making the dot product always be an integer but remember that weinreich is after a theory that is invariant under scaling.
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