Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.6 - Vectors - Concept and Vocabulary Check - Page 781: 6

Answer

The vectors $\mathbf{i}$ and $\mathbf{j}$ both have magnitudes of 1 and are called unit vectors. The direction of vector $\mathbf{i}$ is along the positive x -axis. The direction of vector $\mathbf{j}$ is along the positive y-axis.

Work Step by Step

For representing the position vectors on the cartesian axis x, y, and z, the three systems of vectors, $\mathbf{i}$, $\mathbf{j}$, and $\mathbf{k}$ are used. They are mutually perpendicular with each other and point along the x-axis, y-axis, and z-axis respectively, and have a magnitude of 1. They are called unit vectors.
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