Multiply vector by the scalar online calculator

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Multiplication of the vector and the scalar is called vector,

definition of the multiplication of the vector by the scalar

which has following properties:

Magnitude of the resulting vector equals to the product of the magnitude of the scalar and magnitude of the initial vector:

feature of vector by scalar multiplication

Vectors vector a and vector b are codirectional, if α > 0 and oppositely directed, if α < 0.

product of the vector by the scalar

Product of the vector to the scalar also shares following properties:


associativity feature


distributivity feature

Distributivity relative to scalar:

distributivity feature

Vector times scalar calculator
Vector A by:
Find scalar times vector
Vector A = { }

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Other useful links:

Scalar product of vectors online calculator
Vector magnitude online calculator
Angle between vectors online calculator

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