Space Norm
Why
We generalize our notion of norm from the plane, $\R ^2$, to the space, $\R ^3$.
Definition
The norm $\norm{x}$ of a
vector $x \in \R ^3$ is defined by
\[
\norm{x} = \sqrt{x_1^2 + x_2^2 + x_3^3}
\]
We generalize our notion of norm from the plane, $\R ^2$, to the space, $\R ^3$.
The norm $\norm{x}$ of a
vector $x \in \R ^3$ is defined by
\[
\norm{x} = \sqrt{x_1^2 + x_2^2 + x_3^3}
\]