6次元
a ⋅ b = a 1 b 1 + a 2 b 2 + a 3 b 3 + a 4 b 4 + a 5 b 5 + a 6 b 6 . {\displaystyle \mathbf {a} \cdot \mathbf {b} =a_{1}b_{1}+a_{2}b_{2}+a_{3}b_{3}+a_{4}b_{4}+a_{5}b_{5}+a_{6}b_{6}.}
| a | = a ⋅ a = a 1 2 + a 2 2 + a 3 2 + a 4 2 + a 5 2 + a 6 2 . {\displaystyle \left|\mathbf {a} \right\vert ={\sqrt {\mathbf {a} \cdot \mathbf {a} }}={\sqrt {{a_{1}}^{2}+{a_{2}}^{2}+{a_{3}}^{2}+{a_{4}}^{2}+{a_{5}}^{2}+{a_{6}}^{2}}}.}
1 + 1 + 1 + 1 + 1 + 1 = 6 = 2.4495 , {\displaystyle {\sqrt {1+1+1+1+1+1}}={\sqrt {6}}=2.4495,}