Why does the P come before the Q in relative displacement vector notation?

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SUMMARY

The discussion centers on the notation used in relative displacement vectors, specifically why the vector QP is expressed as PrQ instead of QrP. The participants clarify that QP can be derived from the equation QP = OP - OQ, where OP represents the vector from point O to point P and OQ represents the vector from point O to point Q. The coordinate forms of these vectors are defined as OP = and OQ = , leading to the conclusion that QP = . This notation is essential for understanding vector relationships in physics and mathematics.

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  • Understanding of vector notation and operations
  • Familiarity with coordinate geometry
  • Basic knowledge of relative displacement concepts
  • Introduction to vector algebra
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  • Study vector subtraction in coordinate systems
  • Learn about vector notation in physics
  • Explore the concept of relative displacement in 2D and 3D spaces
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Students in mathematics or physics courses, particularly those studying vector analysis and relative displacement, as well as educators seeking to clarify vector notation concepts.

Ultrimo
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We have 3 points. O, P, Q.

OP = rP
OQ = rQ
but why is QP PrQ rather than QrP?

I'm just starting M4 and I really like to understand everything. This doesn't make any sense to me and I can't find out online. I'm sure there's a logical reason for it to be like that. Is it because you go along to rQ and then along to P?
 
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Ultrimo said:
We have 3 points. O, P, Q.

OP = rP
OQ = rQ
but why is QP PrQ rather than QrP?
Your notation doesn't make any sense to me.

QP = OP - OQ

If the coordinate form of OP is <p1, p2>, and the coordinate form of OQ is <q1, q2>, then QP = <p1 - q1, p2 - q2>.
Ultrimo said:
I'm just starting M4 and I really like to understand everything. This doesn't make any sense to me and I can't find out online. I'm sure there's a logical reason for it to be like that. Is it because you go along to rQ and then along to P?
 

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