Vector u is represented by the directed line segment RS and vector v is represented by the directed line segment OP. If R = (8,-2), S = (11,-6), O = (-3,-9), and P = (0,-13), are u and v equal.

Answer 1

To determine if vectors u and v are equal, we need to calculate the components of each vector:

The components of vector u are given by the difference between the coordinates of the end point and the starting point of the line segment RS. So, we have:
u = (11-8, -6-(-2)) = (3, -4)

The components of vector v are given by the difference between the coordinates of the end point and the starting point of the line segment OP. So, we have:
v = (0-(-3), -13-(-9)) = (3, -4)

Since the components of vectors u and v are the same, u and v are equal.