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: 16f



Work Step by Step

We're given that; $\vec{a} = (3\,m)\hat{i}+(4\,m)\hat{j}$ and $\vec{b} = (5\,m)\hat{i}+(−2m)\hat{j}$. We can subtract these vectors component-wise; $\vec{b}-\vec{a} = (5\,m−3\,m)\hat{i}+(−2\,m−4\,m)\hat{j}$ $\vec{b}-\vec{a} =(2\,m)\hat{i}−(6\,m)\hat{j}$. The angle then equals: $\tan^{-1}(\frac{-6\,m}{2\,m}) = -71.57^{\circ}$.
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