Vector Length

Sometimes it is necessary to find the length of a vector (also called the norm or magnitude of a vector.) If we have a vector u=[u1, u2, u3, ..., un], the length of the vector is found by the formula,

If we have a vector u, the length (or norm, or magnitude) of u is denoted by either |u| or ||u||. The formula for length is derived from other vector operations. The length of a vector is found as follows: