Is [math]v[/math] in the span of [math]w_1[/math], [math]w_2[/math], and [math]w_3[/math]?[br][br]Set the vectors [math]w_1[/math], [math]w_2[/math], and [math]w_3[/math] and the target vector [math]v[/math].  Vary the parameters [math]a[/math], [math]b[/math], and [math]c[/math] to change the position of the linear combination [math]aw_1 + bw_2 + cw_3[/math]. Can you hit [math]v[/math]?