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I have tried to solve this but my problem wasn't completely solved.I want to plot a function f(t_) := {1,t,0} using the metric g = {{y^2, 0, y}, {0, exp[z], 0}, {y, 0, 1}}. Here is the coding in Mathematica which was i have tried for plotting a function f(t_) := {1,t,0} but it doesn't shows the plot of a function.

metric[x_,y_,z_] := {{y^2, 0, y}, {0, exp[z], 0}, {y, 0, 1}}

ParametricPlot3D[metric[1,t,0], {t, 0, 5}, PlotStyle -> {Hue[.6],  
Thickness[.02]}]

enter image description here

Could someone please give me some pointers on how to do this?

Kanika Sood
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    Use Exp in place of exp (uppercase the letter E). – creidhne Sep 17 '16 at 05:27
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1 Answers1

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Built-in symbols have names beginning with capital letters, see Wolfram Language Syntax and Language Overview, also The Four Kinds of Bracketing in the Wolfram Language, Some General Notations and Conventions, Wolfram Predictive Interface.

metric[x_, y_, z_] := {{y^2, 0, y}, {0, Exp[z], 0}, {y, 0, 1}}

ParametricPlot3D[metric[1, t, 0], {t, -1, 5}, 
PlotStyle -> {Hue[.6], Thickness[.02]}]

enter image description here