\displaystyle \mathbf{N}(t)=\dfrac{\mathbf{T}'(t)}{|\mathbf{T}'(t)|}

1. T(t): \langle\dfrac{-\sin t}{\sqrt{2}}, \dfrac{\cos t}{\sqrt{2}}, \dfrac{1}{\sqrt{2}}\rangle

2. {T}'(t): \langle \dfrac{-\cos t}{\sqrt{2}}, \dfrac{-\sin t}{\sqrt{2}}, 0\rangle

3. {T}'(0): \langle\dfrac{-1}{\sqrt{2}}, 0, 0\rangle

4. |{T}'(0)|: \dfrac{1}{\sqrt{2}}

5. {N}(0): \langle -1, 0, 0\rangle