point p
[point p|point p] The definition of point p is its role as the initial point of a vector v, which is characterized by its coordinates (x1, y1).
Definition
point p The definition of point p is its role as the initial point of a vector v, which is characterized by its coordinates (x1, y1). Point p is also referenced in the sine function, where its y-coordinate equals the sine of t. This relationship is expressed as sin t = y, linking the coordinate of point p to trigonometric values.
Mechanism
point p is represented as the initial point of vector u, with coordinates ( − 1 , 6 ). The terminal point Q is located at ( 7 , − 5 ). The sine of t corresponds to the y-coordinate of point P, establishing sin t = y.
Causes
The sine of t corresponds to the y-coordinate of point p, establishing sin t = y. The cosine of t corresponds to the x-coordinate of point p, establishing cos t = x. These relationships define how trigonometric functions relate to the coordinates of point p.
Effects
The sine of t corresponds to the y-coordinate of point p. This relationship is expressed as sin t = y. The y-coordinate directly reflects the value of the sine function at angle t.
Initial Point
point p is the starting location of a vector. It is paired with a terminal point to define the vector's direction and magnitude. The vector is written using these two points. Given a vector v, its initial point is P = (x1, y1). The terminal point is Q = (x2, y2).
Initial Point Mechanism
point p serves as the starting position for the vector u. The vector is expressed using i and j components based on the coordinates of the initial and terminal points. The terminal point Q is calculated by subtracting the coordinates of P from Q. This process defines the vector's direction and magnitude from the initial point to the terminal point.
Terminal Point
point p is the terminal point of a vector, which is defined by its initial point and terminal point. The terminal point is the endpoint of the vector, and it is used to determine the vector's direction and magnitude. In the context of a vector v, the terminal point Q is paired with the initial point P to define the vector's position in space.