Question

The three vectors in Fig. 3-31 have magnitudes a = 3.00m, b = 4.00m, and c = 10.0m. What are (a) the x-component and (b) the y-component?

A. (a) 3.00m, (b) 4.00m
B. (a) 4.00m, (b) 3.00m
C. (a) 6.00m, (b) 8.00m
D. (a) 8.00m, (b) 6.00m

Answer 1

The x-component and y-component of the given vectors cannot be determined without the angles.

Step-by-step explanation:

To find the x-component and y-component of a vector, we can use the trigonometric relationships. In this case, we have three vectors with magnitudes a = 3.00m, b = 4.00m, and c = 10.0m.

For vector a, the x-component (Ax) can be found using the formula Ax = a * cos(θ), where θ is the angle the vector makes with the x-axis. Since the angle is not given, we cannot determine the x-component.

For vector b, the x-component (Bx) can be found using the formula Bx = b * cos(θ), where θ is the angle the vector makes with the x-axis. Since the angle is not given, we cannot determine the x-component.

For vector c, the x-component (Cx) can be found using the formula Cx = c * cos(θ), where θ is the angle the vector makes with the x-axis. Since the angle is not given, we cannot determine the x-component.

Therefore, the answer is (a) and (b) cannot be determined.