Vector fields, introduction
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Khan AcademyGrant Sanderson
Vector fields, introduction
Vector fields let you visualize a function with a two-dimensional input and a two-dimensional output. You end up with, well, a field of vectors sitting at various points in two-dimensional space.
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A vector field is a mathematical representation that assigns a vector to every point in a given region of space. These vectors can represent various physical quantities such as velocity in a fluid flow, the strength and direction of a magnetic or electric field, or even the gradient of a scalar function. In two dimensions, a vector field looks like a grid of arrows, each arrow showing the direction and magnitude of the vector at that point. In three dimensions, the concept is similar but harder
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A vector field is a mathematical representation that assigns a vector to every point in a given region of space. These vectors can represent various physical quantities such as velocity in a fluid flow, the strength and direction of a magnetic or electric field, or even the gradient of a scalar function. In two dimensions, a vector field looks like a grid of arrows, each arrow showing the direction and magnitude of the vector at that point. In three dimensions, the concept is similar but harder
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46K views · 1.5K reactions | A vector field assigns a vector to every...
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A vector field is a mathematical representation that assigns a vector to every point in a given region of space. These vectors can represent various physical quantities such as velocity in a fluid flow, the strength and direction of a magnetic or electric field, or even the gradient of a scalar function. In two dimensions, a vector field looks like a grid of arrows, each arrow showing the direction and magnitude of the vector at that point. In three dimensions, the concept is similar but harder
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A vector field is a mathematical representation that assigns a vect…
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mathswithmuza on Instagram: "A vector field is a mathematical construct that assigns a vector to every point in a given region of space. In two dimensions, you can picture this as arrows drawn on the plane, where each arrow has both a direction and a magnitude that vary depending on the point’s location. In three dimensions, vector fields are often used to describe forces such as gravity, electric fields, or fluid flow, where at each point in space the field indicates the direction and strength
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mathswithmuza on Instagram: "A vector field is a mathematical con…
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