Vector A⃗ points in the negative x direction. Vector B⃗ points at an angle of 27.0∘ above the positive x axis. Vector C⃗ has a magnitude of 18m and points in a direction 36.0∘ below the positive x axis. Given that A⃗ +B⃗ +C⃗ =0, find the magnitudes of A⃗ and B⃗ .

Question

Vector A⃗  points in the negative x direction. Vector B⃗  points at an angle of 27.0∘ above the positive x axis. Vector C⃗  has a magnitude of 18m and points in a direction 36.0∘ below the positive x axis.  Given that A⃗ +B⃗ +C⃗ =0, find the magnitudes of A⃗  and B⃗ .

anonymous · Answer

The three vectors add to give zero, that means they form the sides of a triangle. If you can draw that triangle you should be able to solve the problem with a little trigonometry.