Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Chapter Test - Page 657: 21

Answer

Vectors $v_2$ and $v_3$ are orthogonal.

Work Step by Step

When the dot product between two vectors is $0$, then they are perpendicular or orthogonal. We calculate the dot product between vectors $2$ and $3$: $v_2 \cdot v_3=(-3i-6j)(-8i+4j) \\=(-3)(-8)+(-6)(4)\\=24 -24 \\=0$ We get $0$, which implies that $v_2$ and $v_3$ are orthogonal. Multiplying the other vectors does not produce a zero dot product.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.