Question

doubt....

Answer 1

Do you want the meaning? Or is this an actual question

Answer 2

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 ??

Answer 3

Oh ok i'm not good at this but maybe someone can help

Answer 4

projection of \(a\) onto \(b\) is defined as the component of \(a\) along \(b\) :

\[\large \text{proj}_b~a ~~=~~ \text{comp}_b a ~~=~~ \frac{a\cdot b}{b\cdot b} b\]

Answer 5

so it's the same thing?

Answer 6

yes exact same thing

Answer 7

alright thanks, pretty weird though I was sure there was some difference I didn't remember.

Answer 8

http://en.wikipedia.org/wiki/Vector_projection