Scalar-product meaning

The numerical product of the lengths of two vectors and the cosine of the angle between them.
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The product of the lengths of two vectors and the cosine of the angle between them.
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The numerical product of the lengths of two vectors and the cosine of the angle between them.
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(vector algebra) The product of two vectors computed as the sum of the corresponding elements of the vectors, or, equivalently, as the product of the magnitudes of the vectors and the cosine of the angle between their directions.
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Scalar-product Sentence Examples

  • In the language of vector analysis (q.v.) it is the scalar product of the vector representing the force and the displacement.

  • In the same way, the work dne by a force acting on a rigid body in any infinitely small displacement of the body is the scalar product of the force into the displacement of any point on the line of action.

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Words near scalar-product in the Dictionary