Final answer:
The horizontal component of the force is 1.16 N and the vertical component is 1.42 N.
Step-by-step explanation:
To find the horizontal and vertical components of the given force vector, we need to use trigonometry. The horizontal component of the force is given by the formula:
Horizontal component = Force * cos(angle)
Plugging in the values, we have:
Horizontal component = 1.81 N * cos(51°) ≈ 1.16 N
The vertical component of the force is given by the formula:
Vertical component = Force * sin(angle)
Plugging in the values, we have:
Vertical component = 1.81 N * sin(51°) ≈ 1.42 N