# Vector Geometry Numerical Question

• Sep 30th 2009, 01:06 PM
Provoke
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!

http://img8.imageshack.us/img8/8051/13160695.jpg
• Sep 30th 2009, 02:45 PM
ialbrekht
Let \$\displaystyle A(x_a, y_a)\$ and \$\displaystyle B(x_b, y_b)\$. Knowing that A+B+P=0 we can write 2 equations:

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

or

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

So, you can find lengths |A| and |B| and coordinates from this system.
• Sep 30th 2009, 03:09 PM
Provoke
Quote:

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

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

or

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

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

Works well, thanks!