A body undergoes two successive displacements: and

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A body undergoes two successive displacements: d1=4 i^+3 j^ m\mathbf{d_1}=4\,\hat{\mathbf{i}}+3\,\hat{\mathbf{j}}\ \text{m} and d2=−2 i^+5 j^ m\mathbf{d_2}=-2\,\hat{\mathbf{i}}+5\,\hat{\mathbf{j}}\ \text{m}. Calculate: (a) the resultant displacement in component (unit-vector) form (b) the magnitude of the resultant displacement (c) the angle the resultant displacement makes with the positive xx-axis

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