The resultant displacement of a hiker is

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

The resultant displacement of a hiker is R=8i^+6j^ m\mathbf{R}=8\hat{i}+6\hat{j}\,\text{m}. One of his displacements is A=3i^+4j^ m\mathbf{A}=3\hat{i}+4\hat{j}\,\text{m}. What is the other displacement B\mathbf{B}? (a) 11i^+10j^ m11\hat{i}+10\hat{j}\,\text{m} (b) 5i^+2j^ m5\hat{i}+2\hat{j}\,\text{m} (c) −5i^−2j^ m-5\hat{i}-2\hat{j}\,\text{m} (d) 4i^+3j^ m4\hat{i}+3\hat{j}\,\text{m}

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