Question

Vector u is represented by the directed line segment and vector v is represented by the directed line segment . If r=(8,-2),s=(11,-6),)=(-3,-9), and p=(0,-13) and , are u and v equal? Explain how you reached your answer.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if vectors u and v are equal, we need to check if their components are the same.

Vector u is represented by the directed line segment from point r=(8,-2) to point s=(11,-6). The components of vector u can be calculated as:
u = (11-8, -6-(-2)) = (3,-4)

Similarly, vector v is represented by the directed line segment from point s=(11,-6) to point p=(0,-13). The components of vector v can be calculated as:
v = (0-11, -13-(-6)) = (-11, -7)

Since the components of vectors u and v are not the same, u and v are not equal.