The figure shows vectors A⃗ and B⃗ . Find vector C⃗ such that A⃗ +B⃗ +C⃗ =0⃗ .

http://session.masteringphysics.com/problemAsset/1…

Express C⃗ in the form Cx, Cy where the x and y components are separated by a comma.

### 2 Answers

If

Vec_A + Vec_B + Vec_C = 0

Vec_C = – (Vec_A + Vec_B)

then

Cx = – (Ax + Bx) = – (|A| cos40° – |B| cos10°) = – (4*cos40° – 2*cos10°) = – 1.094 m

Cy = – (Ay + By) = – (|A| sin40° + |B| sin10°) = – 2.918 m

so this answer in i-hat/j-hat form would be:

-1.094(i-hat)-2.918(j-hat)