(a) Determine the x and y components of Vector 𝑨 ; B ; C. (b) Determine x and y components of the sum of these three vectors.

Question

Vector 𝑨 ⃗ ⃗ has a magnitude of 75.0 cm and points at 30° above the positive x-axis. Vector 𝑩 ⃗⃗ has a magnitude of 25.0 cm and points along the negative x-axis. Vector 𝑪 ⃗ ⃗ has a magnitude of 40.0 cm and points at 45° below the negative x-axis

Answer 1

(a)

 

A_x = (75.0 cos30°) cm = 64.95 cm

A_y = (75.0 sin30°) cm = 37.5 cm

 

B_x = (25.0 cos180°) cm = -25.0 cm

B_y = 0

 

C_x = (40 cos225°) cm = -28.28 cm

C_y = (40 sin225°) cm = -28.28 cm

 

(A + B + C)_x = A_x + B_x + C_x

 

You should be able to finish from here.