Each of the following vectors is given in terms of its \(x\) - and \(y\)-components. Draw the vector, label an angle that specifies the vector's direction, then find the vector's magnitude and direction.

a. \(v_{x}=20 \mathrm{~m} / \mathrm{s}, v_{y}=40 \mathrm{~m} / \mathrm{s}\)

b. \(a_{x}=2.0 \mathrm{~m} / \mathrm{s}^{2}, a_{y}=-6.0 \mathrm{~m} / \mathrm{s}^{2}\)