Here \(z\)-axis is vertically upward means normal to plane of paper as shown in figure.

Thus, \(\overrightarrow{ A }= A \hat{ k }\) and \(\overrightarrow{ B }= B \hat{ j }\)

So, \(\overrightarrow{ A } \times \overrightarrow{ B }= A \hat{ k } \times B \hat{ j }=- AB \hat{ i }\)

Thus, it is along negative \(x\)-axis means along west.