5.1 ベクトル関数

1.

(a) $${{\bf F}^{\prime}(t) = (-\sin{t},\cos{t}), \Vert{\bf F}^{\prime}(t)\Vert = 1}$$ (b) $${{\bf F}^{\prime}(t) = (2,-1,3), \Vert{\bf F}^{\prime}(t)\Vert = \sqrt{14}}$$

(c) $${{\bf F}(t) = (t,t^{2})}$$　(d) $${{\bf F}(t) = (e^{t} \sqrt{2}t, -e^{-t})}$$