Answered: Consider the three displacement vectors…

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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Consider the three displacement vectors = (−2î− 3ĵ) m, = (4î − 5ĵ) m, and = (−6î + 5ĵ) m.

Use the component method to determine the following. (Take the +x direction to be to the right.)

Consider the three displacement vectors A = (-2î – 3ĵ) m, B = (4î – 5ĵ) m, and C = (-6î + 5j) m. Use the component method to determine the following. (Take the +x direction to be to the
%3D
right.)
(a) the magnitude and direction of the vector D = A + B +C
magnitude
direction
° counterclockwise from the +x axis
(b) the magnitude and direction of E
A -B +C
magnitude
direction
° counterclockwise from the +x axis

Expert Solution

Step 1

The three displacement vectors,

$\begin{array}{rcl} \vec{A} & = & (- 2 \hat{i} - 3 \hat{j}) m \\ \vec{B} & = & (4 \hat{i} - 5 \hat{j}) m \\ \vec{C} & = & (- 6 \hat{i} + 5 \hat{j}) m \end{array}$

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