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So I have a vector-valued function

$$ r(t) = \langle \cos(t), \sin(t), \sqrt{t}\rangle $$

I am trying to plot the function over the interval $ 0 \le t \le 4 $.

This is what I have for right now.

k[t_] := {Cos[t], Sin[t], Sqrt[t]};

Plot3D[{Cos[t], Sin[t], Sqrt[t]}, {t, 0, 4}]
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    $\begingroup$ ParametricPlot3D instead of Plot3D. $\endgroup$ – Carl Woll Sep 15 '17 at 17:59
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You can use Graphics3D combined with Arrow:

  f[t_] := {Cos[t], Sin[t], Sqrt[t]}
  dt = 0.2;
  table = Table[Arrow[{f[t], f[t + dt]}], {t, 0, 4, dt}];
  Graphics3D[table]

enter image description here

Or:

ParametricPlot3D[f[t], {t, 0, 4}]

enter image description here

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