scalar multiplication

British

noun

maths an operation used in the definition of a vector space in which the product of a scalar and a vector is a vector, the operation is distributive over the addition of both scalars and vectors, and is associative with multiplication of scalars

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Example Sentences

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Vector addition and scalar multiplication are defined analogously to the two-dimensional case.

From Textbooks • Mar. 30, 2016

For any nonzero vector v, we can use scalar multiplication to find a unit vector u that has the same direction as v.

From Textbooks • Mar. 30, 2016

First, use scalar multiplication, then find the magnitude of the new vector.

From Textbooks • Mar. 30, 2016

For the following exercises, use the matrices below to perform scalar multiplication.

From Textbooks • Feb. 13, 2015

A scalar multiple is any entry of a matrix that results from scalar multiplication.

From Textbooks • Feb. 13, 2015

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