1. Given vector A's components:
A_x = -5.00 \text{ m}
A_y = -8.00 \text{ m}
2. Scale vector A by the scalar R:
R_x = -6.00 \cdot A_x
R_x = -6.00 \cdot -5.00 \text{ m} = 30.00 \text{ m}
R_y = -6.00 \cdot A_y
R_y = -6.00 \cdot -8.00 \text{ m} = 48.00 \text{ m}
Answer:
R_x = 30.00 \text{ m}
R_y = 48.00 \text{ m}