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Graphical Methods of Vector Addition Quiz 1. What is the defining difference between a scalar and a vector quantity? 2. When graphically representing a vector, what does the length of the arrow represent? 3. When performing one-dimensional graphical vector addition on two vectors, what is the proper starting position for each of the two arrows representing the two forces being combined? a) Both arrows should start at the origin, zero on the number line, and point in the same direction. b) Both arrows should start at the point on the number line equal to their magnitudes, and point in opposite directions. c) One arrow should start at zero on the number line, pointing to the right if positive and left if negative. The other arrow should start at zero on the number line and point in the opposite direction. d) One arrow should start at zero on the number line, pointing to the right if positive and left if negative. The other arrow should start at the end of the first arrow and point to the right if positive and left if negative. 4. Can one-dimensional vector addition be performed on more than two vectors? How or why not? 5. True or False: When graphically adding vectors in two dimensions, each vector arrow begins at the origin and proceeds in the direction of the vector for a distance proportional to the magnitude of the vector. 6. Use the number line below to graphically illustrate the following vector addition problem and its solution: +5 units added to -7 units 1 7. Describe the vectors involved with the situation graphed below. Identify the magnitudes of the initial vector (red), second vector (blue), and resultant vector (purple). 8. Describe the vectors involved with the situation graphed below. Identify the magnitudes of the initial vector (red), second vector (blue), and resultant vector (purple). 9. Graph the vector addition problem and the solution: Brian biked 5mi E, 3mi N, then 2mi W, then 1mi S, what was his resultant displacement? 10. Graph the vector addition problem and the solution: Kelly sailed 6mi N, then 3mi W, then 2mi S, what was her resultant displacement? 2