## Multivariable Calculus, 7th Edition

Since, $(t,t,t)$ and $(t^{3},t^{3},t^{3})$ refers to same line but at the value of $t=1$ all they would have different tangent vectors such as $(1,1,1)$ and $(3,3,3)$. This implies that they would have same directions but different magnitudes. Hence, the given statement is false.