- #1

- 663

- 3

I'm reviewing vectors and I thought the best way to go about it is understand the exact definition without blindingly using formulas. Anyway here is my question

The vector resoulute of a on b

* - unit vector

(a . b*) b*

My question is why doesn't this cancel out to a like this.

a. b x b

----- ---

|b| |b|

|b|

^{2}= b.b

So wouldn't this be

a.b x b

----

b.b

which is equal to a

I know this doesn't happen but I think there is something wrong in my understanding. I can't understand what happens when two vectors are multiplied. Why does it give a scalar. How do you explain it. Can you multiply 3 vectors. Can you divide vectors?

It seems a lot of questions but I think by answering my first question you would probably answer these questions. Thanks a lot in advance