Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 3 - Vectors - Problems - Page 57: 16d

Answer

$(2\,m)\hat{i}-(6\,m)\hat{j}$

Work Step by Step

We're given that: $\vec{a} = (3\,m)\hat{i} + (4\,m)\hat{j}$ and $\vec{b} = (5\,m)\hat{i} + (-2\,m)\hat{j}$. We can subtract these vectors component-wise; $\vec{b}-\vec{a} = (5\,m-3\,m)\hat{i} + (-2\,m-4\,m)\hat{j}$ $\vec{b}-\vec{a} = (2\,m)\hat{i}-(6\,m)\hat{j}$
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