Answer :
Final answer:
Ordered pairs in Quadrant IV have a positive x-value and a negative y-value, which is a unique characteristic due to the layout of the Cartesian coordinate system. Vectors in this quadrant have a specific way of representing the direction angle, reflecting their scalar components with positive magnitude and negative direction.
Explanation:
A special characteristic of ordered pairs in Quadrant IV of the Cartesian coordinate system is that for any ordered pair (x, y), the x-value (or the abscissa) is positive, and the y-value (or the ordinate) is negative.
This is due to the arrangement of the coordinate axes, where Quadrant IV is defined by the region where all points have a positive x-coordinate and a negative y-coordinate.
When dealing with vectors in this quadrant, the direction angle is typically represented as θ = 360° - α or θ = 270° + α, depending on the context, since vectors can also possess both magnitude and direction and may be analysed in terms of their scalar components.
Answer:
X is always positive and y is always negative.
Step-by-step explanation:
Quadrant IV is the bottom right area, which is under the x axis (meaning y is less than y=0) and right of the y axis (meaning x is greater than x=0).
