Three displacement vectors are plotted on an x y plane. Vector A, the shortest of the three, starts at the origin and extends up along the positive y axis. Vector B, the longest of the three, starts at the origin and extends into the first quadrant at an angle of 45.0° from the positive xaxis. Vector C, whose magnitude is between that of vectors A and B, starts at the origin and extends into the fourth quadrant at an angle of 45.0° from the positive xaxis. (a) Find the resultant in unit-vector notation. R =     units (b) Find the magnitude and direction of the resultant displacement. magnitude     unit(s)

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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Three displacement vectors of a croquet ball are shown in the figure, where

|A| = 24.0 units,
|B| = 50.0 units,

and

|C| = 20.0 units.

 

Three displacement vectors are plotted on an x y plane. Vector A, the shortest of the three, starts at the origin and extends up along the positive y axis. Vector B, the longest of the three, starts at the origin and extends into the first quadrant at an angle of 45.0° from the positive xaxis. Vector C, whose magnitude is between that of vectors A and B, starts at the origin and extends into the fourth quadrant at an angle of 45.0° from the positive xaxis.
(a) Find the resultant in unit-vector notation.
R =
 
 
units


(b) Find the magnitude and direction of the resultant displacement.
magnitude     unit(s)
direction     ° counterclockwise from the +x axis
B
45.0⁰
/45.0°
-x
Transcribed Image Text:B 45.0⁰ /45.0° -x
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