Vector Equation of a Line
A line is defined as the set of alligned points on the plane with a point, P, and a directional vector, .
If P(x1, y1) is a point on the line and the vector has the same direction as , then equals multiplied by a scalar unit:
A line passes through point A = (−1, 3) and has a directional vector with components (2, 5). Determine the equation of the vector.
Write the vector equation of the line which passes through the points A = (1, 2) and B = (−2, 5).