14. Is the magnitude of the vector (IEI) shown in the simulation the same as me calculated magnitude, i.e. ldl : d}, + d)?! Approximately same 15. Is the direction of the vector (H) reooded in the simulation the same as the calculated direction, i.e. 6 : M11467\")? In some case approximately same and in some case completely different. x 10. Check the magenta Sum box at the top right. The sum 3 = i___ 171 +772 of the two vectors will be displayed by the simulation. Record its magnitude and the :I n- - angle made by the sumvector with the hoiizontal, as well as its x- and y-components (as shown at the top of the simulation screen) in Table 4, in me sum (parallelogram method) row. 11. Drag the sum vector and position it with the tail in the same point as the tails of the original two vectors. If you were to form a complete a parallelogram with the two original vectors as sides, is the sum 3 of the two vectors the same as the vector along the parallelogram's diagonal from the common tail to the opposite vertex of the parallelogram? Activity 3: Addition of Vectors using Graphical and Analytical Methods For this activity, select the Lab screen. The a few minutes to explore the simulation. You can adjust me direction and length ofthe Vectors by click-dragging their arrow heads. 12. Without deleting the two vectors and the sum, drag out two green vectors having the polar coordinates of the two magenta vectors used in the previous steps, Le. (15.0, 450) and (10.0, 40.0\"), and position them so that the tail of the second vector is placed at the head of the rst vector. as... 13. Check the green Sum box at the top right. The sum? = 31 + E__. 52 of the two vectors will be displayed by the simulation. Record its magnitude and the angle made by the sum vector with the horizontal, as well as its x- and y-components (as shown at the top of the simulation screen) in Table : 4, in the sum (tailtotip method) row. 16. Uncheck all the boxes at the top right except for \"grid\" select \"no components\" and polar 14. Drag the green sum vector and position it with the tail in the same point as the tails of the first vector. If coordinates mode. the tailtotip method of adding vectors works, the head of the green sum vector should end up at the head . . . , _ _ of the second vector in the sum Does it? 17. Drag out a magenta vector. Click on the head of the Vector and drag it until it's magnitude is 15.0 and the angle 9 made by the vector with the hoiizontal is 45.0". Record its x and ycomponents (as shown at die top of the simulation screen) inTable 4 below. 15. Based on your Table 4 data, how does the magenta sum Vector compare with the green sum vector'.7 E iu'i 130 a saw v. as v. 13,! Compare their polar and Cartesian coordinates in Table 5 below by circling the correct relational sign. 18. Drag out a second magenta vector. Click on the head of the Vector and diag it until it's magnitude is 10.0 Table 5 and the angle 6 made by the vector with the horizontal is 70.0. Record its x and y-components (as magnitude: ,m_m > = : = : ) ) v1+v2+v3 + > > v9+v1 +131 33. Are the x- and y-components of vectors 131 + 152 + 1:33 and 132 + 13:1 + 153 the same? 34. Take a screenshot (Ctrl+Alt+PrtScn) of the two sums and insert it here