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For the following equation x=2t^2,y=3t^2,z=4t^2;1 less or equal to t less or equal to 3 i)...

For the following equation x=2t^2,y=3t^2,z=4t^2;1 less or equal to t less or equal to 3
i) Write the positive vector tangent of the curve with parametric equations above.
ii) Find the length function s(t) for the curve.
iii) Write the position vector of s and verify by differentiation that this position vector in terms of s is a unit tangent to the curve.

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