How can I use options for a ParametricPlot3D?

Question

Using this command I can plot three different curves using ParametricPlot3D

ParametricPlot3D[{{t x, Sin[t x], 0}, {0 , Sin[t x], t x }, {t x ,Sin[t x], t x }}, {t, 0, Pi}, {x, 0, 4}]

However, my output result is coming out crooked. How can I fix it? The command ViewPoint does not work as in Plot3D or DensityPlot, There are some specific commands?

The idea is to obtain something like that. This plot was generated using my code. but it was obtained using paint. The resolution is awful.

Answer 1

To add to Chips answer, sometimes the option AxesEdge is helpful and a few other clues in case someone isn't sure which axis is which:

ParametricPlot3D[{{t x, Sin[t x], 0}, {0, Sin[t x], t x}, {t x, Sin[t x], t x}}, {t, 0, Pi}, {x, 0, 4}, Boxed -> False, AxesLabel -> {x, y, z}, AxesEdge -> {{0, 2}, {0, 3}, {0, 4}}, AxesStyle -> {Red, Green, Blue}]

Answer 2

ParametricPlot3D[{{s, 0, Sin[s]}, {0, s, Sin[s]}, {s, s, Sin[s]}}, {s, 0, 4 Pi}, 
  PlotStyle -> Tube[.07], ImageSize -> Large]

Answer 3

axes[x_, y_, z_, f_, a_] := 
 Graphics3D[
  Join[{Red, Arrowheads[a]}, 
   Arrow[Tube[{{0, 0, 0}, #}]] & /@ {{x, 0, 0}, {0, y, 0}, {0, 0, 
      z}}, {Text[
     Style["x", FontSize -> Scaled[f]], {0.9*x, 0.1*y, 0.1*z}], 
    Text[Style["y", FontSize -> Scaled[f]], {0.1 x, 0.9*y, 0.1*z}], 
    Text[Style["z", FontSize -> Scaled[f]], {0.1*x, 0.1*y, 0.9*z}]}]]
Show[{(ParametricPlot3D[{{s, Sin[s], 0}, {0, Sin[s], s}, {s, Sin[s], 
       s}}, {s, 0, 4 Pi}, Lighting -> "Neutral", ImageSize -> 700] /. 
    Line -> Tube), axes[10, 10, 10, 0.05, 0.02]}, 
 PlotRange -> {{-5, 10}, {-5, 10}, {-5, 10}}, 
 ViewVertical -> {0, 0, 1}, ViewPoint -> {Pi, Pi/2, 2}, 
 AxesOrigin -> {0, 0, 0}]