4. ABCD is a parallelogram, and E is the intersection point of the diagonals AC and BD. Name a single vector equivalent to each expression. C B a) AE + EB b) BC + BA () AE + AE d) AD + AB e) BA + AE + ED + DC f) AB-DB g) AB-CB-DC h) AE -EB - BC14. In a soccer match, the goalkeeper stands on the midpoint of her goal line. She kicks the ball 25 m at an angle of 35 to the goal line. Her teammate takes the pass and kicks it 40 m farther, parallel to the sideline. 3) Draw a scale diagram illustrating the vectors and resultant displacement. b) What is the resultant displacement of the ball? c) If the field is 110 m long, how far must the next player kick the ball to take a good shot at the centre of the goal, and in approximately which direction? 7. Niki, Jeanette, and Allen are playing a three-way tug-of-war. Three ropes of equal length are tied together. Niki pulls with a force of 210 N, Jeanette pulls with a force of 190 N, and Allen pulls with a force of 200 N. The angles between the ropes are equal. a) Draw a scale diagram showing the forces on the knot. b) Determine the magnitude and direction of the resultant force on the knot