Part C only please 1. (Adapted from an old exam) The picture below shows two vectors, A and B, defined in relation to astandard 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.B30.0Aa) In the picture above, the vector A has length 1.00 m, and the vector B has length 1.50 m. Find the x andy components of A and B. Write out both vectors in unit vector notation (i.e., using the unit vectors î, ĵ, and kas 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 thex-y plane means specifying the angle that the vector makes with the positive x axis.)

Answered: Image /qna-images/answer/3e08a9e7-729d-4b27-8fbc-35b85494ab70.jpg

Answered: b) Sketch a vector subtraction diagram…

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.)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 65PQ

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Question

100%

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.)

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