For each vector drawn at right:

1. Rewrite the vector in both component and i, j form.

   Hint (a):

   A = –1i + 3j

2. Find each vector's standard angle.

   Step (b):

   Solve tan(θ) = 3/1. This will solve for the angle in the slope triangle for A.
   Recall that the standard angle is measured from the positive $x$-axis.

3. Find $\vec { A } + \vec { B }$ and $\vec { B } - \vec { A }$.

   Hint (c):

   $A + B = 〈 –1, 3〉 + 〈 4, 3〉 = ?$

4. Determine $\| \vec { B } \| \cdot \vec { A }$.

   Hint (d):

   The double bars mean "the magnitude of". To calculate the magnitude of vector B, use the Pythagorean Theorem.