Activity 1.10 - Introduction to Vectors Part 11. The displacement vector is shown. The grid spacing is 2 meters.a. What are the x and y components of A? Pay attention towhether the components are positive or negative. Include units.Note that components are scalars and so there are no arrowson top of A, or Ay.grid spacing - 2mb. The unit vector is a vector of magnitude one that points in the +x direction. Similarly, the unit vector / points inthe ty direction. Write the vector A using the unit vectors and the values of components you found above.Example: the vector = 7m i is a vector of length 7 meters pointing in the ex direction.What is the magnitude of A?d. What is the direction of A? Give the angle relative to the +x direction with counterclockwise (6) defined aspositive (so that +y is 90°, -x is 180°, and -y is 270º).2. On the grid above, draw the vector B= (61-12 j) m with the tail of located at the head of A. Make sure toinclude the arrow at the head of your vector. Remember the grid spacing is 2 meters. The tail is the starting pointof a vector, and the head (or tip) is the pointed end.3. Vector addition: The net displacement R= A + B is the resultant of the two vectors.a. On the grid above draw the resultant vector R = A + B by connecting the tail of A to the head of B. Make sureto include the arrow indicating direction.b. Write the resultant vector - A+ using component vector notation, I.e., using unit vectors.c. How do you find R, if you know the values of A and B₂, e., what is therelation between the x-components R₂, A, and B?d. What is the magnitude of Re. What is the direction of R? Give angle relative to +x direction with ccw defined as positive.Hint: re-draw the vector R and make sure your angle is in the correct quadrant.4. Vector Subtraction: We want to calculate the vector difference2-A-#where B=(61-12J) m.a. We know that A - B = A + (-B). Draw the vector - sothat the tail of - is at the head of A. Remember the gridspacing is 2 meters.b. Draw the vector C-A-B.c. Write C-A-# in component vector notation, Le, usingunit vectors and J.grid spacing -2mgrid spacing -2m

A vector is physical quantity which has both direction and magnitude.

Activity 1.10-Introduction to Vectors Part 1 1. The displacement vector A is shown. The grid spacing is 2 meters. a. What are the x and y components of A? Pay attention to whether the components are positive or negative. Include units. Note that components are scalars and so there are no arrows on top of A, or A. grid spacing-2m b. The unit vector is a vector of magnitude one that points in the +x direction. Similarly, the unit vector points in the ry direction. Write the vector A using the unit vectors and the values of components you found above. Example: the vector E-7m £ is a vector of length 7 meters pointing in the direction. What is the magnitude of ? d. What is the direction of A? Give the angle relative to the x direction with counterclockwise (c) defined as positive (so that +y is 90", -x is 180°, and -y is 270").

Activity 1.10-Introduction to Vectors Part 1 1. The displacement vector A is shown. The grid spacing is 2 meters. a. What are the x and y components of A? Pay attention to whether the components are positive or negative. Include units. Note that components are scalars and so there are no arrows on top of A, or A. grid spacing-2m b. The unit vector is a vector of magnitude one that points in the +x direction. Similarly, the unit vector points in the ry direction. Write the vector A using the unit vectors and the values of components you found above. Example: the vector E-7m £ is a vector of length 7 meters pointing in the direction. What is the magnitude of ? d. What is the direction of A? Give the angle relative to the x direction with counterclockwise (c) defined as positive (so that +y is 90", -x is 180°, and -y is 270").

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 2.15CYU: Check Your Understanding For the vectors given in Figure 2.13, find the scalar products AB and CF ....

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