Question

What are the x and y components of the vector that must be added to the following three vectors, so that the sum of the four vectors is zero? Due east is the + x direction, and due north is the + y direction. [10]

𝐴⃗ = 113 𝑢𝑛𝑖𝑡𝑠, 60.0° 𝑠𝑜𝑢𝑡ℎ 𝑜𝑓 𝑤𝑒𝑠𝑡

𝐵⃗⃗ = 222 𝑢𝑛𝑖𝑡𝑠, 35.0° 𝑠𝑜𝑢𝑡ℎ 𝑜𝑓 𝑤𝑒𝑠𝑡

𝐵⃗⃗ = 177 𝑢𝑛𝑖𝑡𝑠, 23.0° 𝑛𝑜𝑟𝑡ℎ 𝑜𝑓 𝑒𝑎𝑠

Answer 1

$R_x=-(A_x+B_x+C_x)=75.4,$

$R_y=-(A_y+B_y+C_y)=156.0.$