Final answer:
The correct definition when AX is perpendicular to XC, forming an angle AXC, is the Definition of Perpendicular Lines. This geometric principle states that perpendicular lines intersect to create a right angle, which measures 90 degrees.
Step-by-step explanation:
If AX ⊥ XC, then ∠AXC is a right angle. The correct definition that applies to this scenario is the Definition of Perpendicular Lines. When two lines are perpendicular to each other, they meet to form a right angle, which is an angle of 90 degrees. This is a fundamental concept in geometry and is often used in problems involving coordinate systems and vector analysis.
In the context of vectors, Ax and Ay are defined to be the components of vector A along the x- and y-axes respectively. Given that Ax and Ay are perpendicular, they form a right triangle with vector A. This situation allows us to use trigonometric relationships to find the magnitude and direction of the components, where Ax = A cos θ and Ay = A sin θ, with θ being the angle the vector A makes with the x-axis.