1. ## Help with Vectors

I passed my Vector Calculus course but I still feel like I don't have a good grasp on vectors. I can handle basic calculations fine (as those are easy), but when given a proof type problem whose concepts are based on vector geometry, I run into trouble.

Attached is the type of problem I'm talking about. Can anyone give specific advice on this problem, or direct me to some resources that would enhance my knowledge of vector geometry?

Thanks so much!

2. ## Re: Help with Vectors

Originally Posted by divinelogos
Attached is the type of problem I'm talking about. Can anyone give specific advice on this problem, or direct me to some resources that would enhance my knowledge of vector geometry?
Let $\vec{c}$ be the vector from $A\text{ to }B.$
Then $\vec{c}=\vec{a}+t(\vec{b}-\vec{a}),~0\le t\le 1.$
Now we know that $\|\vec{c}\|=m+n$ so we want a multiple of $\vec{c}$ so let $t=\frac{m}{m+n}$.