Assume that a vector a of length ||a|| = 3 units. In addition, a points in a direction that is 135◦ counterclockwise from the positive x-axis, and a vector b in th xy-plane has a length ||b|| = 1 3 and points in the positive y-direction.
(5.1) Find a ·b.
(5.2) Calculate the distance between the point (−1,√3) and the line 2x-2y-5=0
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