Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.2 - Vectors - Exercises 12.2 - Page 705: 32


See answers below.

Work Step by Step

Need to find parts a,b,c,d as follows: (a) $7(-j)=-7j$ (b) $\sqrt 2(-\dfrac{3}{5}i-\dfrac{4}{5}k)=-\dfrac{3 \sqrt 2}{5} i -\dfrac{4 \sqrt 2}{5}k$ (c) $\dfrac{13}{12}(\dfrac{3}{13}i-\dfrac{4}{13}j-\dfrac{12}{13}k)=\dfrac{3}{12}i-\dfrac{4}{12}j-1k=\dfrac{1}{4}i-\dfrac{1}{3}j-k$ (d) $a(\dfrac{1}{\sqrt 2}i+\dfrac{1}{\sqrt 3}j -\dfrac{1}{\sqrt 6}k)=\dfrac{a}{\sqrt 2}i+\dfrac{a}{\sqrt 3}j -\dfrac{a}{\sqrt 6}k$
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.