- #1

- 528

- 33

## Main Question or Discussion Point

I have a doubt in 3d geometry. I calculus and I know how to do partial derivatives.(but I dont know what it means).

If you have a parametric equation ##x=t, y=t^2,z=t^3## (the equation is randomn)

What does ##\vec{r}=t\hat{i}+t^2\hat{j}+t^3\hat{k}## represent?

now if it represents the position vector or the vector connecting origin and a point on the curve, then will ##\frac{dr}{dt}## give the tangent to the curve?

If you have a parametric equation ##x=t, y=t^2,z=t^3## (the equation is randomn)

What does ##\vec{r}=t\hat{i}+t^2\hat{j}+t^3\hat{k}## represent?

now if it represents the position vector or the vector connecting origin and a point on the curve, then will ##\frac{dr}{dt}## give the tangent to the curve?