Answer:
Length of displacement vector = 7.51 m
Explanation:
Consider east as positive X axis and North as positive Y axis.
Eric headed 6 meters east, Displacement = 6 i
Then he headed X meters north, Displacement = X j
Total displacement = 6 i + X j
Angle it makes with horizontal axis, θ = tan⁻¹(X/6) = 37°
X/6 = tan 37
X = 4.52 m
Total displacement = 6 i + 4.52 j
Magnitude = [tex]\sqrt{6^2+4.52^2} =7.51m[/tex]
Length of displacement vector = 7.51 m
