e)

The parametric form for the line passing through R(5) with direction V(5) is

> tanline5 := r5 + s * v5;

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To force the combination of these two vectors, use the evalm command:

> tanline5 := evalm(tanline5);

> plotTL5 := spacecurve( tanline5, s=0..5, color=GREEN ):

> display( plotR, plotV5, plotTL5 );

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Note: The perspective is different because the tangent line forces the choice of a different viewing window.

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