MTH 254 Introduction to Vectors in 2D
A VECTOR is a mathematical quantity with both magnitude and direction, represented with a directed line segment, or an arrow.
- A standard position vector has its initial point at the origin and its terminal point at (a, b).
- The components of a standard position vector are given as .
- The magnitude (length) of vector is denoted as .
- The direction angle is the angle the vector makes with the positive x-axis.
Interactive Graph: Move the yellow dot to adjust the vector. Reason out the components of the vector and verify you can calculate the components, the direction angle, and the magnitude of a standard position vector.