- #1

- 45

- 0

## Homework Statement

If a, b, and c are any three vector fields in locally Minkowskain 4-manifold, show that the field ε[itex]_{ijkl}[/itex]a[itex]^{i}[/itex]b[itex]^{k}[/itex]c[itex]^{l}[/itex] is orthogonal to [itex]\vec{a}[/itex], [itex]\vec{b}[/itex], and [itex]\vec{c}[/itex].

## Homework Equations

## The Attempt at a Solution

I know I have to show that multiplying the field by each individual vector field equals 0, but I don't know how to go about doing this.