Show that if a particle moves from point with position vector to point with position…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Show that if a particle moves from point AA with position vector r1=x1 i^+y1 j^\mathbf r_1 = x_1\,\hat{\mathbf i} + y_1\,\hat{\mathbf j} to point BB with position vector r2=x2 i^+y2 j^\mathbf r_2 = x_2\,\hat{\mathbf i} + y_2\,\hat{\mathbf j}, then the magnitude of its displacement is given by ∣Δr∣=(x2−x1)2+(y2−y1)2.|\Delta\mathbf r| = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.

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