Determine the magnetic field vector

[Fisicks]

Homework Statement

Two long thin parallel wires 15.0 cm apart carry 31 A currents in the same directions. Determine the magnetic field vector at a point 11.0 cm from one wire and 6.0 cm from the other

Homework Equations

B=uI/2piR

The Attempt at a Solution

ok so the magnetic field that point P will be the square root of the sum of the squares of the contributions from both wires. But this doesn't work out..

 

[Redbelly98]

The Attempt at a Solution

ok so the magnetic field that point P will be the square root of the sum of the squares of the contributions from both wires. But this doesn't work out..

That only works if the two vectors are at right angles to each other. If they're not at right angles, you have to use sines and cosines and do vector addition.