Final answer:
In 2-space, a vector with a length of 5 pointing up at an angle measured from the positive x-axis can be represented as (0, 5).
Step-by-step explanation:
In 2-space, a vector can be represented using two components: the x-component and the y-component. The length of the vector is given as 5, which represents the magnitude of the vector. The vector is pointing up at an angle measured from the positive x-axis. To find the x and y components of the vector, we can use trigonometry.
Let's assume the angle is given by θ. The x-component of the vector can be found using the equation x = r * cos(θ), where r is the magnitude of the vector and θ is the angle. The y-component of the vector can be found using the equation y = r * sin(θ).
For this problem, the angle is not specified, so we can't determine the exact x and y components of the vector. However, we know that the vector is pointing up, which means the angle is 90 degrees. In this case, the x-component of the vector would be 0 and the y-component would be 5. Therefore, the vector can be represented as (0, 5).