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today were going to be talking about how to sketch a vector equation and in this particular video were going to be dealing with two different vector functions one is R of T and keep in mind that for both of these R as the vector and T is the parameter so were talking about a vector function for R in terms of the parameter T so we have R of T is equal to the components here sine T and T and then we have our second equation here which well get to in a second lets tackle this first one here so we have these two component values sine T and T we can extract these two components as parametric equations so sine T corresponds to our X component so we can say X is equal to sine T and then we can say Y is equal to T now the most important thing to note about this vector equation in particular is that theres no Z component theres no third component here in our vector equation therefore we couldnt pull out a parametric equation for Z we just have x and y that tells us that were going to
