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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

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Example Sentences

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

From Textbooks • Mar. 30, 2016

We have already seen how some of the algebraic properties of vectors, such as vector addition and scalar multiplication, can be extended to three dimensions.

From Textbooks • Mar. 30, 2016

Write the equation for the magnitude of the vector, then use scalar multiplication:

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

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

From Textbooks • Feb. 13, 2015

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