Vector Scalar Multiplication

For a vector $k\vec{v}$ the scalar value is $k|\vec{v}|$ Direction does not change unless the k value is negative, in which case it flips to the other direction

Vector Scalar Multiplication Properties

Distributive Law for Vectors

$k(\vec{u}+\vec{v})=k\vec{u}+k\vec{v}$

Associative Law for Scalars

$m(n\vec{v})=mn\vec{v}$

Distributive Law for Scalars

$(m+n)\vec{v}=m\vec{v}+n\vec{v}$