Question: If you multiply a vector (vec{A}) by a scalar (c), is the result a scalar or a vector? If the result is a scalar, what

If you multiply a vector $\vec{A}$ by a scalar $c$, is the result a scalar or a vector? If the result is a scalar, what is its magnitude? If the result is a vector, what are its magnitude and direction? What if the scalar $c=0$ ?

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