Question Detail
Question
Two vectors A = 3.0i - 4.5j and B = -2.5i + 5.0j. Find the magnitude of their vector sum and the angle it makes with the positive x-axis.
Correct Answer
Option B is the correct answer.
Detailed Explanation
Sum vector R = A + B = (0.5i + 0.5j). Magnitude |R| = sqrt(0.5² + 0.5²) ≈ 0.71. Angle θ = arctan(0.5/0.5) = 45°. Check options accordingly.
Hint
R = A + B, |R| = sqrt(Rx² + Ry²), θ = arctan(Ry/Rx).