How do you find the vector projection p of x onto y?

Thread starter me09
Start date Jun 22, 2011
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Projection Vector

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SUMMARY

The vector projection p of vector x onto vector y can be calculated using the formula p = (x · y / y · y) * y. In this discussion, vector x is defined as (2, -5, 4)^T and vector y as (1, 2, -1)^T. The user is directed to the Wikipedia article on vector projection for further details and examples. This method is essential for understanding how to project one vector onto another in linear algebra.

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Understanding of vector notation and operations
Familiarity with the dot product of vectors
Basic knowledge of linear algebra concepts
Ability to interpret mathematical formulas

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Jun 22, 2011

me09

Given x=(2,-5,4)^T and y=(1,2,-1)^T

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Jun 22, 2011

I like Serena

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MHB

Welcome to PF, me09!

I think you can find the answer to your question in the first couple of lines of the wikipedia article:
http://en.wikipedia.org/wiki/Vector_projection