Let r(t) = w +tv be the parametrization of a line. (a) Show that the are length function s (t) = | ||r'(u)|| du is given by s(t) = t || v||. This shows that r(t) is an arc length parametrizaton if and only if v is a unit vector. (b) Find an arc length parametrization of the line with w = (1, 2, 3) and v = (3, 4, 5).

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