Final answer:
To find the vector of length 2 making an angle of 30° with the x-axis, we can use trigonometry. The horizontal component, Vx, is 1.732 and the vertical component, Vy, is 1.
Step-by-step explanation:
To find the vector of length 2 making an angle of 30° with the x-axis, we can use trigonometry. Let's call the vector V. We can represent V as V = (Vx, Vy), where Vx is the horizontal component and Vy is the vertical component.
Since V has a length of 2, we can use the Pythagorean theorem to find the relationship between Vx and Vy:
Vx^2 + Vy^2 = 2^2
Since the angle between V and the x-axis is 30°, we can use trigonometric functions to find the values of Vx and Vy.
Vx = V * cos(30°)
Vy = V * sin(30°)
Substituting the values, Vx = 2 * cos(30°) and Vy = 2 * sin(30°), we can calculate the values of Vx and Vy:
Vx = 2 * 0.866 = 1.732
Vy = 2 * 0.5 = 1
Therefore, the vector of length 2 making an angle of 30° with the x-axis is V = (1.732, 1).