anonymous
  • anonymous
doubt....
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Do you want the meaning? Or is this an actual question
anonymous
  • anonymous
What is the difference between component and projection?? Consider 2 vectors, \[\vec a\] and\[\vec b\] The cosine of the angle between them is given by, \[\cos(\theta)=\frac{\vec a.\vec b}{|\vec a||\vec b|}\] Then the component of a along b is the magnitude of a times the cosine of the angle between \[|\vec a|\cos(\theta)=|\vec a| . \frac{\vec a. \vec b}{|\vec a||\vec b|}=\vec a \frac{\vec b}{|\vec b|}=\vec a.b\] where b is the unit vector along b, this is the same as projection of a on b ??
anonymous
  • anonymous
Oh ok i'm not good at this but maybe someone can help

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ganeshie8
  • ganeshie8
projection of \(a\) onto \(b\) is defined as the component of \(a\) along \(b\) : \[\large \text{proj}_b~a ~~=~~ \text{comp}_b a ~~=~~ \frac{a\cdot b}{b\cdot b} b\]
anonymous
  • anonymous
so it's the same thing?
ganeshie8
  • ganeshie8
yes exact same thing
anonymous
  • anonymous
alright thanks, pretty weird though I was sure there was some difference I didn't remember.
ganeshie8
  • ganeshie8
http://en.wikipedia.org/wiki/Vector_projection

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