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1 day ago · Geometrically, vectors are multi- dimensional quantities with magnitude and direction, often pictured as arrows. A linear transformation rotates, stretches, or shears the vectors upon which it acts. Its eigenvectors are those vectors that are only stretched, with neither rotation nor shear.
9 hours ago · A vector space is finite-dimensional if its dimension is a natural number. Otherwise, it is infinite-dimensional, and its dimension is an infinite cardinal. Finite-dimensional vector spaces occur naturally in geometry and related areas. Infinite-dimensional vector spaces occur in many areas of mathematics.
9 hours ago · Step 1/6. Identify the forces acting on the object. There are three forces: - 14 N to the left - 4 N to the right - 8 N to the right. Step 2/6. Determine the net force in the horizontal direction. Since the forces are collinear, we can add the forces acting in the same direction and subtract the forces acting in the opposite direction. Step 3/6.
9 hours ago · A metric tensor at p is a function gp(Xp, Yp) which takes as inputs a pair of tangent vectors Xp and Yp at p, and produces as an output a real number ( scalar ), so that the following conditions are satisfied: gp is bilinear. A function of two vector arguments is bilinear if it is linear separately in each argument.
9 hours ago · A tangent plane of the sphere with two vectors in it. A Riemannian metric allows one to take the inner product of these vectors. Let be a smooth manifold. For each point , there is an associated vector space called the tangent space of at . Vectors in are thought of as the vectors tangent to at .
9 hours ago · The Chaotix are a group of initially four characters who debuted in the game Knuckles' Chaotix as the main characters, later forming their own detective agency in Sonic Heroes where only three of them (Vector, Espio and Charmy respectively) returned, after the three were redesigned and rebooted into essentially new characters.
1 day ago · A neutrino ( ⫽ njuːˈtriːnoʊ ⫽ new-TREE-noh; denoted by the Greek letter ν) is a fermion (an elementary particle with spin of 1 2) that interacts only via the weak interaction and gravity. [2] [3] The neutrino is so named because it is electrically neutral and because its rest mass is so small ( -ino) that it was long thought to be zero.
