Final answer:
To find the x and y components of a force vector given an angle, you can use trigonometry. The x component can be found using x = F * cos(angle), and the y component can be found using y = F * sin(angle). In this case, the x component is 25.98N and the y component is 15N.
Step-by-step explanation:
When a vector is defined as 30 degrees north of west, it means that the vector is directed in a northwest direction but is tilted 30 degrees towards the north. To find the x and y components of a force vector, you can use trigonometry. Let's assume that the force is 30N and the angle is 30 degrees.
To find the x component (westward), you can use the formula x = F * cos(angle), where F is the force and angle is the angle of the vector. In this case, x = 30N * cos(30°) = 25.98N.
To find the y component (northward), you can use the formula y = F * sin(angle), where F is the force and angle is the angle of the vector. In this case, y = 30N * sin(30°) = 15N.