Physics 211 - Module 1 Hands On Activities Packet 2 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 Ax or Ay. Student Add Name Here c. What is the magnitude of A? +y >+x 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 +y direction. Write the vector A using the unit vectors and the values of components you found above. Example: the vector E= 7mi is a vector of length 7 meters pointing in the +x direction. d. What is the direction of A? Give the angle relative to the +x direction with counterclockwise (ccw) defined as positive (so that +y is 90°, -x is 180°, and -y is 270º). 2. On the grid above, draw the vector B = (68-12 j) m with the tail of B located at the head of A. Make sure to include the arrow at the head of your vector. Remember the grid spacing is 2 meters. The tail is the starting point of a vector, and the head (or tip) is the pointed end. Physics 211-Module 1 Hands On Activities Packet 2 Student Add Name Here 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 sure to include the arrow indicating direction. b. Write the resultant vector R = A + B using component vector notation, i.e., using unit vectors. c. How do you find Ry if you know the values of A and By, i.e., what is the relation between the x-components Rx, Ax, and By? d. What is the magnitude of R? e. 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 difference C=A-B where B= (61-12j) m. a. We know that A - B = A + (-B). Draw the vector - so that the tail of -B is at the head of A. Remember the grid spacing is 2 meters. b. Draw the vector C= A - B. c. Write C=A-B in component vector notation, i.e., using unit vectors i and j +y grid spacing 2m grid spacing= 2m