Answered: If two collinear vectors A and B are…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

If two collinear vectors A and B are added, the resultant has a magnitude equal to 4.0. If B is subtracted from A , the resultant has a magnitude equal to 8.0. What is the magnitude of B?

Expert Solution

Step 1

Given, the resultant of the sum of two collinear vectors A and B has magnitude 4. It can be written as,

$|A + B| = 4$

Since A and B are collinear, the magnitude of the sum of vectors is equal to the sum of the of the magnitudes of the individual vectors. Hence, we can write

$|A| + |B| = 4 . . . . . . (1)$

Here, $|A|$ and $|B|$ are the magnitudes of vectors A and B respectively.

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