Final answer:
In unit vector notation, vector f can be written as (0.234 * cos(300°))i + (0.234 * sin(300°))j.
Step-by-step explanation:
In unit vector notation, a vector is represented by its magnitude and direction. The magnitude of vector f is given as 0.234 units, and its direction is 300 degrees. To represent this in unit vector notation, we can break down the vector into its x and y-components.
Let's assume the x-component is represented by vector i, and the y-component is represented by vector j. The x-component can be found using the formula cos(θ) = adjacent/hypotenuse, where θ is the angle from the positive x-axis. Using this formula, we get cos(300°) = x-component/0.234. Solving for the x-component, we get x-component = 0.234 * cos(300°).
The y-component can be found using the formula sin(θ) = opposite/hypotenuse. Using this formula, we get sin(300°) = y-component/0.234. Solving for the y-component, we get y-component = 0.234 * sin(300°).
Therefore, in unit vector notation, vector f can be written as:
f = (0.234 * cos(300°))i + (0.234 * sin(300°))j.