Avector is a quantity that has magnitude and direction. for example, if you travel 20 miles northwest, 20 miles is the magnitude and northwest is the direction. in this example, the vector is called a displacement vector. vectors often represent displacement, speed, acceleration, or force. you can think about a vector as a directed line segment. the initial point is the tail of the vector. the terminal point is the tip, usually represented by an arrowhead. the vector in the diagram can be named either or . you can also describe a vector using component form. this form defines the vector according to the horizontal and vertical changes in the coordinates from the initial point to the terminal point. if x represents the horizontal change of and y represents the vertical change of then the component form of is . in the figure above, the horizontal change of is and the vertical change is . therefore, in component form, . question 1 you will now use this basic understanding of vectors to answer some questions about the magnitude of a vector. you may use the geogebra geometry tool to assist you with your answers, but using the program is not required. if you need , follow these instructions for using geogebra. part a how can you find the magnitude of a vector , where the horizontal change is x and the vertical change is y? part b what is the magnitude of the vector ?