Question

1. quadrants abcd are shown in the image. if vector a has a magnitude of 8 units and points north, and vector b has a magnitude of 6 units and points east, which quadrant would the resulting vector r most likely be located? assume the originating point is (0,0)

Explanation:

Step1: Represent vectors in component - form

Vector A with magnitude 8 units pointing north can be represented as $\vec{A}=(0,8)$. Vector B with magnitude 6 units pointing east can be represented as $\vec{B}=(6,0)$.

Step2: Calculate the resultant vector

The resultant vector $\vec{R}=\vec{A}+\vec{B}=(0 + 6,8+0)=(6,8)$.

Step3: Determine the quadrant

Since both the x - component (6) and y - component (8) of the resultant vector $\vec{R}$ are positive, the vector is in the first quadrant (Quadrant A).

Answer:

A