Final answer:
To find the component form of vector u, use trigonometry to calculate its horizontal and vertical components. The x-component, ux, is given by |u| * cos(θ), and the y-component, uy, is given by |u| * sin(θ).
Step-by-step explanation:
To find the component form of vector u, we need to determine its horizontal and vertical components. In this case, the magnitude of vector u is labeled as '个' and the angle it makes with the x-axis is 80°. We can use trigonometry to find these components.
The x-component of vector u, denoted as ux, can be found using the equation ux = |u| * cos(θ), where |u| is the magnitude of vector u and θ is the angle it makes with the x-axis. Plugging in the values, ux = 个 * cos(80°).
The y-component of vector u, denoted as uy, can be found using the equation uy = |u| * sin(θ), where |u| is the magnitude of vector u and θ is the angle it makes with the x-axis. Plugging in the values, uy = 个 * sin(80°).