Tutorial Exercise Consider the two vectors A = 4 i - 2 j and B = - i - 3 j. (a) Calculate A +B (b) Calculate A -B (c) Calculate A + B (d) Calculate A -B (e) Calculate the directions of A + B and A -B. Step 1 You can draw the vectors A and B on graph paper in the x-y plane. The vector A is drawn from the origin to the point (4,-2), and the vector B is drawn from the origin to the point (-1,-3). Step 2 We perform operations on vectors in unit-vector form by performing the operations on the coefficients of the unit vectors i and j. Part (a) asks for the addition of two vectors. Part (b) asks for the difference of two vectors, and parts (c) and (d) ask for the magnitudes of the two resulting vectors from parts (a) and (b). Part (e) asks for the directions of the two vectors from parts (a) and (b). Step 3 (a) Use the property of vector addition that states that the components of R = A +B are computed as R, - A + B, and R, = A, + By. %3! A +B - (4 i + 3) ( i+ i + Submit Skip (you cannot come back) Need Help? Read It 92.058 12 étv 80 DII esc F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 @ &

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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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Tutorlal Exercise
Consider the two vectors A = 4 i - 2j and B = - i - 3 j.
(a) Calculate A + B
(b) Calculate A -B
(c) Calculate A + B
(d) Calculate A - B
(e) Calculate the directions of A +B and A -B.
Step 1
You can draw the vectors A and B on graph paper in the x-y plane. The vector A is drawn from the origin to the point (4,-2), and the vector B is drawn from the origin to the point (-1,-3).
Step 2
We perform operations on vectors in unit-vector form by performing the operations on the coefficients of the unit vectors i and j. Part (a) asks for the addition of two vectors. Part (b) asks for the difference of two vectors, and parts (c) and (d)
ask for the magnitudes of the two resulting vectors from parts (a) and (b). Part (e) asks for the directions of the two vectors from parts (a) and (b).
Step 3
(a) Use the property of vector addition that states that the components of R = A + Bare computed as R, - A, + By and R, = A, + B
%3D
A +B - (4 i +
3) (
i+
i+
Submit Skip (you cannot come back)
Need Help?
Read It
92,058
12
étv
80
DII
esc
F1
F2
F3
F4
F5
F6
F7
F8
F9
F10
F11
F12
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Transcribed Image Text:Tutorlal Exercise Consider the two vectors A = 4 i - 2j and B = - i - 3 j. (a) Calculate A + B (b) Calculate A -B (c) Calculate A + B (d) Calculate A - B (e) Calculate the directions of A +B and A -B. Step 1 You can draw the vectors A and B on graph paper in the x-y plane. The vector A is drawn from the origin to the point (4,-2), and the vector B is drawn from the origin to the point (-1,-3). Step 2 We perform operations on vectors in unit-vector form by performing the operations on the coefficients of the unit vectors i and j. Part (a) asks for the addition of two vectors. Part (b) asks for the difference of two vectors, and parts (c) and (d) ask for the magnitudes of the two resulting vectors from parts (a) and (b). Part (e) asks for the directions of the two vectors from parts (a) and (b). Step 3 (a) Use the property of vector addition that states that the components of R = A + Bare computed as R, - A, + By and R, = A, + B %3D A +B - (4 i + 3) ( i+ i+ Submit Skip (you cannot come back) Need Help? Read It 92,058 12 étv 80 DII esc F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 @ &
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