Math Help - Vector Geometry Numerical Question

1. Vector Geometry Numerical Question

I need a fast shotgun method to spit out the coordinates of both vectors, there has to be something out there that I don't know of!

2. Let $A(x_a, y_a)$ and $B(x_b, y_b)$. Knowing that A+B+P=0 we can write 2 equations:

$x_a+x_b=0$
$y_a+y_b=19$

or

$|A|cos(a)+|B|cos(b)=0$
$|A|sin(a)+|B|sin(b)=19$

So, you can find lengths |A| and |B| and coordinates from this system.

3. Originally Posted by ialbrekht
Let $A(x_a, y_a)$ and $B(x_b, y_b)$. Knowing that A+B+P=0 we can write 2 equations:

$x_a+x_b=0$
$y_a+y_b=19$

or

$|A|cos(a)+|B|cos(b)=0$
$|A|sin(a)+|B|sin(b)=19$

So, you can find lengths |A| and |B| and coordinates from this system.
Works well, thanks!