What is the subtraction of Vector G from Vector P? G = 3 units 01>. 0.41 (Di7' (Cij During a three-way tug-ofwar competition, each of the three ropes is tied to a center knot. One man pulls his rope North with a force of 301 N. Another man pulls his rope at 10.0 South of East with a force of 280 N. If the third man pulls on his rope Southwest with a force of 313 N, what is the net force on the knot? O 62.7 N O 52.7 N O 72.7 N O 42.7 N Kelley and Stuart bought bottled soft drinks for a party at the same store. Kelley spent $31.15 for 5 large bottles and 13 small bottles. Stuart bought 6 large and 10 small bottles of soft drinks for $30.38. What was the cost of a small bottled soft drink? (Hint: The equation for Kelley's purchases is: 5L + 138 = 31.15 First determine the equation for Stuart's purchases, and then solve the system of equations using matrices.) 0 $0.95 for a small bottled soft drink 0 $1.15 for a small bottled soft drink 0 $1.45 for a small bottled soft drink 0 $1.25 for a small bottled soft drink Determine the resulting vector when E = (4, 6) is rotated 60" clockwise and increased in size by a multiple of 2. O (4 +65%, ix/3 + 6) o M M) O (x/37 4x5) 0 (64\\/,4 WE) AABO is shown in the diagram below. Suppose the following sequence of matrix operations was used to translate AABG. [i i +[;7][1 1 1]:_. How would you describe the magnitude and direction of the horizontal and vertical translations applied to AABC ? A horizontal translation of 7 units left and a vertical translation of 4 units up has been applied to O AABC'. A horizontal translation of 8 units right and a vertical translation of 5 units down has been applied to O AABC. A horizontal translation of 5 units left and a vertical translation of 8 units up has been applied to O AABC. O A horizontal translation of 4 units right and a vertical translation of 7 units down has been applied to AABC' . 3 2 _;[12 13] '-' 3 2 _;[2 3] 5 3 2 The owner of a small parking lot near a city festival represents the number and type of vehicles that are in the parking lot on a particular Thursday , Friday, and Saturday, using the matrix below. Car Bus _ T 105 12 A. Day of Week F 143 17 S 202 33 The owner makes a second matrix to indicate the parking cost of $10 per car and $35 per bus. Parking Cost B: Type of Vehicle Car 10 Bus 35 Use matrix multiplication to calculate the revenue for each of the three days. Which of the following statements best describes the result of this multiplication? Q You cannot multiply A by B, because a 2 X 3 matrix cannot be multiplied by a 1 X 2 matrix. 2034 O The result is the revenue matrix [R] = 1438 , that shows the revenue generated by cars and 3222 busses over each of the three days. H O The result is the revenue matrix [R] [4500 2170 ], that shows the revenue generated by cars and busses over the three days. 1470 2025 , that shows the revenue generated by cars and 3175 O The result is the revenue matrix [R] busses over each of the three days. Two tugboats are pulling a ship, as shown below. Each tugboat exerts a force of 600 MegaNewtons (MN) to the right. Tugl 30 0 D.Ship 30 0 Tug2 If R represents the resultant force, then which of the following diagrams is an appropriate vector diagram for this situation? 600 MN 30 R 600 MN 600 MN 600 MN 60 0 R Graph 1 Graph 2 600 MN 600 MN 600 MN 60 0 30 0 R 600 MN Graph 3 Graph 4 O Graph 1 O Graph 2 O Graph 3 O Graph 4 A snowflake gets blown sideways 5 ft for every 3 ft it falls downward. In one such movement. what is the totalGiven the following matrix equation, which of the following is the correct matrix solution, A? 5 5 2 1 A : 2.5 2 4 +3.6 5 7 1 6 3 15 19.'? 16.1 23 35.2 13.3 69 0A 4.5 2.5 0A = [3.4 24.2 1 6.3 7 6 Q A = 7 11 4 2 23 20.5 0.4 = 19.7 31.9 11.1 59.1 A soccer league collected the following statistics over eight games. Win Tie Loss Bulldogs 4 3 '1 Tans 7 1 O Rovers 2 2 4 Each team earns 2 points for a win, 1 point for a tie, and 0 points for a loss. Which of the following matrix operations could be used to determine the points earned by each team after eight games? 2 431 Q1x710 0 224 431 O[210]x710 224 >