Hi, please answer each part of the problem using the given information. Please also show all steps/any work involved and an explanation to better my understanding. Please don't repost the work of other posts. Thanks!

Representing a Planar Force (Vector Notation/Dot Product) Two boats are attached to a cleat on a dock by their bow lines as shown. (a) Write FR = Fl + F2 in vector notation based on the x and z axes shown. (b) Determine the magnitude of the projection of F 1 onto O-x. (0) Determine the magnitude of the projection of F 2 onto O-x. (d) Engineers are concerned that the wood plank in front of the cleat will break if the force pulling along O-x is greater than 800 lb. Use the results from b and c to analyze the situation and determine if failure will occur