Q1: Draw a Cartesian coordinate system and label the x and y axis. On your coordinate system draw the following three vectors:

A=1x+2y B=-2x+2y C= -2x+-3y

Q2: Identify and plot three angles (a,b,c) to describe the direction of each vector.

Q3: Calculate the magnitude and angles of each vector. Mark these on the diagram.

Q4: Can the x or y component of a vector ever have a greater magnitude than the vector itself? Justify your answer in your own words.

Q5:Suppose two vectors have unequal magnitudes. Can their sum ever be zero? Justify your answer in your own word.