Let Å be the displacement vector with a magnitude of 5.3 meters directed 12 degrees in the north of east direction, and let be the displacement vector with a magnitude of two meters due northwest. Express vectors Å and B in unit vector component for Î+ B-

Let Å be the displacement vector with a magnitude of 5.3 meters directed 12 degrees in the north of east direction, and let be the displacement vector with a magnitude of two meters due northwest. Express vectors Å and B in unit vector component for Î+ B-

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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Scalars and Vectors

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Question

Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters, 12 degrees in the north of
east direction to reach the doorstep of the convenience store. He then enters the store and walks straight to cashier, two meters
due northwest.
Let Á be the displacement vector with a magnitude of 5.3 meters directed 12 degrees in the north of east direction, and let B be
the displacement vector with a magnitude of two meters due northwest. Express vectors Á and B in unit vector component form.
À =
+
B -
+
The net displacement is given by the vector sum:
:Ř=À +B.
Ř-
By Pythagorean theorem,the magnitude of the displacement is:
|Ř =
meters.
The direction of the resultant displacement is:
0 =
north of east.

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