x-x-1-x-2-x-n-y-y-1-y-2-y-n-x-y-R-n-1-Prove-the-length-of-the-vector-x-denoted-x-is-equal-to-x-1-2-x-2-2-x-n-2-

Question Number 10562 by FilupS last updated on 18/Feb/17

x = [\begin{matrix} x_{1} \\ x_{2} \\ ⋮ \\ x_{n} \end{matrix}] y = [\begin{matrix} y_{1} \\ y_{2} \\ ⋮ \\ y_{n} \end{matrix}] x, y \in R^{n}

1 . Prove the length of the vector x, denoted ∣∣ x ∣∣,

is equal to \sqrt{x_{1}^{2} + x_{2}^{2} + \dots + x_{n}^{2}}

2 . Determine if ∣∣ x - y ∣∣=∣∣ y - x ∣∣