b) Sketch a vector subtraction diagram showing how to find C=B-A. (There are several correct methods. The PhET Vectors simulation may be helpful.)

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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Part C only please
1. (Adapted from an old exam) The picture below shows two vectors, A and B, defined in relation to a
standard x-y coordinate system. A points straight down (in the -y direction), while B points up and to the left,
making a 30° angle with the positive y axis. All parts of this problem relate to these same vectors A and B.
B
30.0
A
a) In the picture above, the vector A has length 1.00 m, and the vector B has length 1.50 m. Find the x and
y components of A and B. Write out both vectors in unit vector notation (i.e., using the unit vectors î, ĵ, and k
as needed).
b) Sketch a vector subtraction diagram showing how to find C = B-A. (There are several correct methods.
The PhET Vectors simulation may be helpful.)
c) Calculate the magnitude and direction of C = B-A. (Recall that specifying the direction of a vector in the
x-y plane means specifying the angle that the vector makes with the positive x axis.)
Transcribed Image Text:1. (Adapted from an old exam) The picture below shows two vectors, A and B, defined in relation to a standard x-y coordinate system. A points straight down (in the -y direction), while B points up and to the left, making a 30° angle with the positive y axis. All parts of this problem relate to these same vectors A and B. B 30.0 A a) In the picture above, the vector A has length 1.00 m, and the vector B has length 1.50 m. Find the x and y components of A and B. Write out both vectors in unit vector notation (i.e., using the unit vectors î, ĵ, and k as needed). b) Sketch a vector subtraction diagram showing how to find C = B-A. (There are several correct methods. The PhET Vectors simulation may be helpful.) c) Calculate the magnitude and direction of C = B-A. (Recall that specifying the direction of a vector in the x-y plane means specifying the angle that the vector makes with the positive x axis.)
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