Question: (20 points) Using the vector valued function \(r\left( t \right)=\left( \frac{{{t}^{2}}}{2} \right)\mathbf{i}+\left( \frac{2\sqrt{2}}{3}{{t}^{3/2}} \right)\mathbf{j}+t\mathbf{k}\)

Find κ(t) (the curvature) at the point where t = 1.