1. Consider the vector quantity ~A = 3 m/s,4 m/s. (a) Without doing any calculation, what quadrant do you expect this vector to be in? Why? (b) Use a Cartesian coordinate system to represent ~A as an arrow. Remember to label your axes and use an adequate scale. (c) Calculate the magnitude of the vector |~A|= A. (d) Calculate the direction of ~A using the angle 1 measured counterclockwise from the positive x axis. Make sure your calculator is in degrees when using the arctan or tan1 feature. Remember to check that the result you obtain matches your intuition about what quadrant the vector is in.

2. Consider the vector quantity ~B = 13 N, 149. (a) Without doing any calculation, what quadrant do you expect this vector to be in? Why? (b) Do you expect Bxto be positive or negative? Do you expect Byto be positive or negative? (c) Calculate the x component Bx. (d) Calculate the y component By. (e) Use a Cartesian coordinate system to represent ~B as an arrow. Remember to label your axes and use an adequate scale.