Let r(t) = w + tv be a parametrization of a line. (a) Show that the arc

Let r(t) = w + tv be a parametrization of a line.

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(a) Show that the arc length function s(1) = [[|1r (1) du is given by s(1): 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).