Answer:
Step-by-step explanation:
Assuming you want to find the resultant vector of the two given vectors:
We can use the graphical method or the component method to find the resultant vector. Here, I will demonstrate the component method:
Step 1: Convert the given vectors into their component form (i.e., horizontal and vertical components).
Vector 1: 120 N bearing 70°
Horizontal component = 120 cos(70°) ≈ 38.23 N
Vertical component = 120 sin(70°) ≈ 113.41 N
Vector 2: 160 N bearing 40°
Horizontal component = 160 cos(40°) ≈ 122.15 N
Vertical component = 160 sin(40°) ≈ 103.08 N
Step 2: Add the horizontal components and vertical components separately to get the components of the resultant vector.
Horizontal component of resultant vector = 38.23 N + 122.15 N ≈ 160.38 N
Vertical component of resultant vector = 113.41 N + 103.08 N ≈ 216.49 N
Step 3: Use the Pythagorean theorem to find the magnitude of the resultant vector.
Magnitude of resultant vector = √(160.38 N)^2 + (216.49 N)^2 ≈ 268.15 N
Step 4: Find the direction of the resultant vector.
Direction of resultant vector = tan^-1(216.49 N / 160.38 N) ≈ 53.12°
Therefore, the resultant vector of the two given vectors is approximately 268.15 N at a bearing of 53.12°.