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 @ &

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 @ &

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 32P: A small plane flies 40.0 km in a direction 60 north of east and then files 30.0 km in a direction 15...

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A small plane flies 40.0 km in a direction 60 north of east and then files 30.0 km in a direction 15 north of east. Use a graphical method to find the total distance the plane covers from the starting point and the direction of the path to the final position.
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