[b]Any vector can be "scaled" to change its magnitude.[/b][br][br]For any vector [math]\vec{v}=\left\langle a,b\right\rangle[/math], if c is a constant, then [math]c\vec{v}=\left\langle ca,cb\right\rangle[/math] is a scalar multiple of [math]\vec{v}[/math].[br][list][*]If c > 0, then [math]c\vec{v}[/math] represents a vector in the same direction as [math]\vec{v}[/math] with magnitude [math]c\mid\vec{v}\mid[/math].[/*][*]If c < 0, then [math]c\vec{v}[/math] represents a vector in the opposite direction as [math]\vec{v}[/math] with magnitude [math]\mid c\mid\mid\vec{v}\mid[/math].[/*][/list][b]Interactive Graph:[/b] The blue vector V can be repositioned by dragging the blue dot at the head of the vector. The red vector W is the scalar multiple of V. The slider can be used to change the value of the constant, c. Be able to predict the components of the scaled vector as you explore.