Can F_1,2 Be Defined Using r-hat_2,1 Instead of r-hat_1,2?

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Ryan McParlan said:
In this example (https://imgur.com/a/pTFIt) could i define F_1,2 in terms of r-hat_2,1 instead of r-hat_1,2?
Sure, why not? As long as you take into account that they have opposite directions.