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Vector

Vector Vec"tor, n. [L., a bearer, carrier. fr. vehere, vectum, to carry.] 1. Same as Radius vector. 2. (Math.) A directed quantity, as a straight line, a force, or a velocity. Vectors are said to be equal when their directions are the same their magnitudes equal. Cf. Scalar. Note: In a triangle, either side is the vector sum of the other two sides taken in proper order; the process finding the vector sum of two or more vectors is vector addition (see under Addition).

Vector Vec"tor, n. [L., a bearer, carrier. fr. vehere, vectum, to carry.] 1. Same as Radius vector. 2. (Math.) A directed quantity, as a straight line, a force, or a velocity. Vectors are said to be equal when their directions are the same their magnitudes equal. Cf. Scalar. Note: In a triangle, either side is the vector sum of the other two sides taken in proper order; the process finding the vector sum of two or more vectors is vector addition (see under Addition).

- direction Row and column vectors, matrices consisting of a single column or row Vector space, a collection of objects called vectors, which may be added together...

- elements Automatic vectorization, a compiler optimization that transforms loops to vector operations Image tracing, the creation of vector from raster graphics...

- magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. A Euclidean vector is frequently represented by a line...

- In the theory of vector spaces, a set of vectors is said to be linearly dependent if at least one of the vectors in the set can be defined as a linear...

- of a vector or the angle between two vectors. They also provide the means of defining orthogonality between vectors (zero inner product). Inner product...

- takes two vectors and returns a scalar quantity. The dot product of two vectors can be defined as the product of the magnitudes of the two vectors and the...

- (usually coordinate vectors) and returns a single number. In Euclidean geometry, the dot product of the Cartesian coordinates of two vectors is widely used...

- In mathematics and physics, a vector is an element of a vector space. For many specific vector spaces, the vectors have received specific names, which...

- In geometry, two Euclidean vectors are orthogonal if they are perpendicular, i.e., they form a right angle. Two vectors, x and y, in an inner product...

- Vector notation is a commonly used mathematical notation for working with mathematical vectors, which may be geometric vectors or members of vector spaces...

- elements Automatic vectorization, a compiler optimization that transforms loops to vector operations Image tracing, the creation of vector from raster graphics...

- magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. A Euclidean vector is frequently represented by a line...

- In the theory of vector spaces, a set of vectors is said to be linearly dependent if at least one of the vectors in the set can be defined as a linear...

- of a vector or the angle between two vectors. They also provide the means of defining orthogonality between vectors (zero inner product). Inner product...

- takes two vectors and returns a scalar quantity. The dot product of two vectors can be defined as the product of the magnitudes of the two vectors and the...

- (usually coordinate vectors) and returns a single number. In Euclidean geometry, the dot product of the Cartesian coordinates of two vectors is widely used...

- In mathematics and physics, a vector is an element of a vector space. For many specific vector spaces, the vectors have received specific names, which...

- In geometry, two Euclidean vectors are orthogonal if they are perpendicular, i.e., they form a right angle. Two vectors, x and y, in an inner product...

- Vector notation is a commonly used mathematical notation for working with mathematical vectors, which may be geometric vectors or members of vector spaces...

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