## anonymous one year ago doubt....

1. anonymous

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

2. 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 ??

3. anonymous

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

4. ganeshie8

projection of $$a$$ onto $$b$$ is defined as the component of $$a$$ along $$b$$ : $\large \text{proj}_b~a ~~=~~ \text{comp}_b a ~~=~~ \frac{a\cdot b}{b\cdot b} b$

5. anonymous

so it's the same thing?

6. ganeshie8

yes exact same thing

7. anonymous

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

8. ganeshie8