Displacement from Coordinates
Clear Rules (no trig needed)
Δx = x2 − x1, Δy = y2 − y1
Displacement vector Δr = (Δx, Δy)
Magnitude |Δr| = √[(Δx)² + (Δy)²]
Example. Start (2, 3) → End (7, 11)
Δx = 7 − 2 = 5, Δy = 11 − 3 = 8, |Δr| = √(5² + 8²) = √89 ≈ 9.43
Δx = 7 − 2 = 5, Δy = 11 − 3 = 8, |Δr| = √(5² + 8²) = √89 ≈ 9.43
Interactive — Points, Path vs. Displacement
Click on the plane to place points. Axes run from −100 to +100. You can choose 2–4 points.
Core Practice — Compute the displacement (5 rounds)
Enter exact integers for Δx and Δy; magnitude can be decimal (small rounding ok).
Click “New Round”.
More Practice (6 questions, need ≥5 correct)
One at a time. You can reveal a hint if stuck. (No angle questions.)
✅ More practice complete! (≥ 5/6)
❌ Need at least 5/6. Keep going!