Consider the points P = (1,1) and Q=(3,-1). (a) Draw the points P and Q and draw an arrow from P to Q. (b) What is the vector v= PQ algebraically? (c) Find the magnitude of v. (d) The arrow from part (a) forms two possible angles a and with the x-axis in a similar fashion as in the diagram below. The angle a can be described as the angle formed between the arrow and a ray along the x-axis going to +oo. Find a. (WARNING: The dia- gram below is for a generic arrow for visualization purpose only and is not the diagram for part (a)!) & a

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