Forces, Moments and couple question, Can you please check its right

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The vertical component of the force at point F is confirmed to be -3 kN, likely a correction of a typo noted in a previous part of the discussion. To replace a force and a moment with a resultant force, the resultant must equal the original force F, and the distance d must be selected to ensure that F*d equals the moment M. Additionally, the direction of the moment created by F*d must align with the direction of the original moment M. This ensures that both the force and moment are accurately represented in the replacement. The discussion emphasizes the importance of maintaining both magnitude and direction in these calculations.
robm
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Please find the attachment below. Thanks
 

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Regarding a): the vertical component of the 'force at F' equals -3 kN. (I assume it was just a typo, since you used -3 kN in b).)

Regarding c): how to replace a force and a moment with a resultant force (if I got that right)? Well, the resultant force must equal the force F, and the distance d between that resultant and the 'old' resultant force must be chosen so that F*d = M, i.e. it is replacine the moment M now, too. Further on, the 'direction' of the moment F*d must equal the 'direction' of the moment M.
 

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