Final answer:
The question involves resolving a vector into its horizontal and vertical components using trigonometry and finding the magnitude of the vector using the Pythagorean theorem.
Step-by-step explanation:
The question relates to the topic of vector resolution in physics, particularly in understanding how to find the components and magnitude of a vector that is angled relative to an axis. To determine the vector components (Vx and Vy) of a vector v given its magnitude and its angle of inclination, we use trigonometric principles. The student is probably expected to apply the Pythagorean theorem and basic trigonometry to break down the vector into its horizontal (x) and vertical (y) components.
To find the horizontal component, we use the cosine function: Vx = v * cos(angle). To find the vertical component, we use the sine function: Vy = v * sin(angle). Once we have the components, we can calculate the final magnitude of the vector as v = sqrt(Vx² + Vy²), which is derived from the Pythagorean theorem.
For a vector positioned 'above the negative x-axis', we can infer that it is located in either the second or third quadrant of a Cartesian coordinate system (polar coordinates could also be relevant, depending on how the problem is approached).