Exterior product of (A1−A2,B1−B2,C1−C2) and (A1,B1,C1)

[Philosophaie]

(A1−A2,B1−B2,C1−C2)∧(A1,B1,C1)(A1−A2,B1−B2,C1−C2)∧(A1,B1,C1)

$=((A1−A2)∗B1−(B1−B2)∗A1)∗(\hat x \wedge \hat y)+((C1−C2)∗A1−(A1−A2)∗C1)∗(\hat z \wedge \hat x)+((B1−B2)∗C1−(C1−C2)∗B1)∗(\hat y \wedge \hat z)$

Is this the correct exterior product?

 

[andrewkirk]

It looks correct to me. However you should check your second line. It looks like you've pasted your formula twice rather than once. If that's not what happened, it's not clear what the second line means.