Orthogonal Vector Space

Orthogonal Vector Space

A Cartesian plane in which the two axes of the vector space are perpendicular.

Examples

repere orthogonal B

\(\overrightarrow{v}\perp \overrightarrow{u}\) and \(m\left ( \overrightarrow{v} \right )\neq m\left ( \overrightarrow{u} \right )\)

In this case, the vector space can also be normed; if so, it is said to be orthonormal, as in the following example:

repere_orthogonal

\(\overrightarrow{j} \perp \overrightarrow{i}\) and m(\(\overrightarrow{j}\)) = m(\(\overrightarrow{i}\))

Try Buzzmath activities for free

and see how the platform can help you.