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In Kusse and Westwig, p70, it says that the order of terms matters because, in general,

[tex]\hat{e}_j \hat{e}_k\cdot\hat{e}_l[/tex] does not equal [tex]\hat{e}_l\cdot\hat{e}_j\hat{e}_k[/tex]

(the e's are all basis vector e's but I did not know how to show that)

[Kusse and Westwig, Mathematical Physics 2e (Wiley 2006)]