Vectors, and some weried stuff that I dont get

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Vector D is defined as the resultant vector created by the operation 4.7(A + B), which is derived from the vectors A and B. While a tilted coordinate system can simplify calculations, the problem specifically requires expressing D in the original x and y coordinate axes, necessitating consideration of angles. The discussion highlights the importance of following the order of operations to correctly compute the resultant vector. Additionally, there is a reminder that homework-related questions should be posted in the appropriate section for better assistance. Understanding the vector operations and coordinate systems is crucial for solving the problem accurately.
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What is Vector D?? I only see Vector A and B, not the invisible one? Well you can define a new coridnate system X prime and Y prime and not worry about the degrees. But the other stuff is all greek to me. Book doesn't help :(, so any help is appreciated
 
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Since this is homework, in the future it should be posted in the homework help section.

It looks to me like D is the vector constructed as per the rule given on the left hand side, namely 4.7 (A+B).

Keep in mind that while it may seem like a good idea to use a tilted coordinate axis defined by A and B, the question asks for the components of the resultant vector D in terms of x and y, the original coordinate axes. So you will have to deal with the angle eventually.
 
You are given a "recipe" for computing D. Simply do the specified operations. The result is D.
 
Nabeshin said:
It looks to me like D is the vector constructed as per the rule given on the left hand side, namely 4.7 (A+B).

4.7A + B, without the parentheses.
 
kbaumen said:
4.7A + B, without the parentheses.

Right. Order of operations gets me every time.
 

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